EXHIBIT 99.3 
     
                    NOTICE OF GUARANTEED DELIVERY FOR 
  
  OFFER TO EXCHANGE NEWLY ISSUED         OFFER TO EXCHANGE NEWLY ISSUED 

       % EXCHANGEABLE SENIOR                  % EXCHANGEABLE SENIOR 

       DEBENTURES DUE 2008                      DEBENTURES DUE 2008 

                OF                                     OF 

         PENNZOIL COMPANY                       PENNZOIL COMPANY 
            
   FOR A PORTION OF OUTSTANDING           FOR A PORTION OF OUTSTANDING 

    6 1/2% EXCHANGEABLE SENIOR             4 3/4% EXCHANGEABLE SENIOR     

       DEBENTURES DUE 2003                    DEBENTURES DUE 2003 

  Registered holders of 6 1/2% exchangeable senior debentures due 2003 (the "6
1/2% Debentures") of Pennzoil Company, a Delaware corporation (the "Company"
or "Pennzoil") who wish to tender any such 6 1/2% Debentures in exchange for
new   % exchangeable senior debentures due 2008 of the Company (the "New   %
Debentures") and registered holders of 4 3/4% exchangeable senior debentures
due 2003 (the "4 3/4% Debentures" and, together with the 6 1/2% Debentures,
the "Old Debentures"), who wish to tender any such 4 3/4% Debentures in
exchange for new   % exchangeable senior debentures due 2008 (the "New    %
Debentures") of the Company, on the terms and subject to the conditions set
forth in the Prospectus of the Company, dated May   , 1998 (the "Prospectus"),
and the related Letters of Transmittal, and whose Old Debentures are not
immediately available or who cannot deliver their Old Debentures and the
respective Letters of Transmittal (and any other documents required by the
Letters of Transmittal) to Chase Bank of Texas, National Association (the
"Exchange Agent") prior to the Expiration Dates (as defined in the
Prospectus), may use this Notice of Guaranteed Delivery or one substantially
equivalent hereto. This Notice of Guaranteed Delivery may be delivered by hand
or sent by facsimile transmission (receipt confirmed by telephone and an
original delivered by guaranteed overnight delivery) or mailed to the Exchange
Agent. See "The Exchange Offers--Procedures for Tendering" in the Prospectus.

                  THE EXCHANGE AGENT FOR THE EXCHANGE OFFER:

                 CHASE BANK OF TEXAS NATIONAL ASSOCIATION 
 
                                                            By Mail:
 
         By Hand or Overnight
               Courier:
 
 
                                                    (registered or certified
                                                        mail recommended)

                        Chase Texas Trust Company 
   c/o Chase Bank of                              Chase Bank of Texas National
      Texas              55 Water Street, North         Association 
 National Association           Building            Corporate Trust Services
   Corporate Trust      Room 234, Windows 20 & 21         P.O. Box 2320
   Service  or          New York, New York 10041    Dallas, Texas 75221-2320
 1201 Main, 18th Floor
 
  Dallas, Texas 75202
 
                               Facsimile Number:
                       (For Eligible Institutions Only)
 
                                (214) 672-5746
 
                             Confirm by Telephone:
 
                                (214) 672-5678
 
  Delivery of this Notice of Guaranteed Delivery to an address other than as
set forth above or transmission of instructions via a facsimile transmission
to a number other than as set forth above will not constitute a valid
delivery.

  This Notice of Guaranteed Delivery is not to be used to guarantee
signatures. If a signature on a Letter of Transmittal is required to be
guaranteed by an Eligible Institution, such signature guarantee must appear in
the applicable space provided in the Letters of Transmittal for the guarantee
of signatures. 
    

 
   
  The undersigned hereby tenders the aggregate principal amount at maturity of
Old Debentures indicated below, upon the terms and subject to the conditions
contained in the Prospectus, dated May  , 1998, of the Company, receipt of
which is hereby acknowledged.     
 
                    DESCRIPTION OF OLD DEBENTURES TENDERED
 
Aggregate Principal Amount at Maturity of 6 1/2% Debentures:$
 
Aggregate Principal Amount at Maturity of 4 3/4% Debentures:$
 
Certificate Number(s) (if available): ___________________
                          -------------------------------
                                 
       
       
  Unless otherwise indicated, the undersigned will be deemed to have tendered
the entire aggregate principal amount at maturity of Old Debentures held for
the account of the undersigned.
 
Address(es):_____________________________________________
     ------------------------------------------------
 
Area Code and Telephone Number: _________________________
 
Signature(s):____________________________________________
     ------------------------------------------------
 
If Old Debentures will be delivered by book-
entry transfer to The Depository Trust
Company, provide account number.
 
Account Number:_________________________________________
 
The undersigned has a net long position in Old Debentures or equivalent
securities at least equal to the Old Debentures described above (that will be
delivered within three New York Stock Exchange, Inc. trading days after the
date of execution of this Notice of Guaranteed Delivery) within the meaning of
Rule 14e-4 under the Securities Exchange Act of 1934, as amended.
 
                                       2

 
                   THE FOLLOWING GUARANTEE MUST BE COMPLETED
 
                             GUARANTEE OF DELIVERY
                   (NOT TO BE USED FOR SIGNATURE GUARANTEE)
 
  The undersigned, a firm that is a member of a registered national securities
exchange or a member of the National Association of Securities Dealers, Inc.
or a commercial bank or trust company having an office, branch, agency, or
correspondent in the United States, hereby guarantees to deliver to the
Exchange Agent at one of its addresses set forth above, the certificates
representing the Old Debentures, together with a properly completed and duly
executed Letter of Transmittal (or facsimile thereof), with any required
signature guarantees, and any other documents required by the Letter of
Transmittal, within three New York Stock Exchange, Inc. trading days after the
date of execution of this Notice of Guaranteed Delivery.
 
Name of Firm:________________________     -------------------------------------
Address:_____________________________            (Authorized Signature)
    -------------------------------       -------------------------------------
    -------------------------------       Name: _______________________________
          (Include Zip Code)                       (Please type or print)
Area Code and Telephone Number: _____     Title: ______________________________
Date: _______________________________
   
  NOTE: DO NOT SEND CERTIFICATES OF OLD DEBENTURES WITH THIS NOTICE OF
GUARANTEED DELIVERY. CERTIFICATES OF OLD DEBENTURES SHOULD BE SENT WITH YOUR
LETTERS OF TRANSMITTAL.     
 
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