EXHIBIT 99(G)
 
                               [FLEET LETTERHEAD]
 
                                           , 1996
 
Dear Shareholder:
 
    A special purpose trust (the "Trust") formed by Fleet Financial Group, Inc.
("Fleet") is offering to exchange its [      ]% Trust Originated Preferred
Securities (the "Preferred Securities") for any and all of Fleet's depositary
shares (the "Depositary Shares"), each representing a one-tenth interest in a
share of Fleet's Series V 7.25% Perpetual Preferred Stock. The exchange will be
made on the basis of one Preferred Security for one Depositary Share.
 
    Enclosed for your consideration are a Prospectus dated December [ ], 1996
(the "Prospectus") and a Letter of Transmittal (collectively, the "Offer").
These enclosures contain detailed information concerning the Offer, including
its terms and conditions, its purpose, the procedures for tendering Depositary
Shares in exchange for Preferred Securities and information relating to certain
tax consequences of exchanging Depositary Shares for Preferred Securities under
the Offer. Please read the enclosed information carefully before deciding
whether or not you wish to tender your Depositary Shares for exchange.
 
    Subject to the terms and conditions of the Offer, all of the Depositary
Shares that are properly tendered (and are not withdrawn) will be exchanged for
Preferred Securities.
 
    In reviewing the enclosed material, please bear in mind the following:
 
    - The Offer and withdrawal rights will expire at 12:00 Midnight, New York
      City time, on       , 199 , unless the Offer is extended. Fleet National
      Bank, as exchange agent (the "Exchange Agent") must receive the
      certificates representing your Depositary Shares and the Letter of
      Transmittal (or the Notice of Guaranteed Delivery, if applicable) by that
      time.
 
    - The exchange of Depositary Shares for Preferred Securities under the Offer
      is a taxable transaction under present federal income tax laws. In
      addition, your ownership and disposition of Preferred Securities may have
      different tax consequences than your ownership and disposition of
      Depositary Shares. You should consult your own tax advisor regarding the
      tax consequences to you of the exchange and the ownership and disposition
      of Preferred Securities, including the application and effect of federal,
      state, local and foreign tax laws.
 
    - Consummation of the Offer is conditioned on, among other things, tenders
      by a sufficient number of holders of Depositary Shares such that there be
      at least 400 record or beneficial holders of at least 1,000,000 Preferred
      Securities to be issued in exchange for such Depositary Shares, which
      condition may not be waived.
 
    Although Fleet's Board of Directors (the "Board') has authorized the Offer,
neither the Board nor Fleet makes any recommendation as to whether you should
tender all or any of your Depositary Shares for exchange in the Offer. You
should make your own decision as to whether to tender Depositary Shares and, if
so, how many Depositary Shares to tender.
 
    The Offer makes good economic sense for Fleet. Replacing the Depositary
Shares with Preferred Securities will improve Fleet's after-tax cash flow. The
cash flow benefit arises because interest payable by Fleet to the Preferred
Securities' trust is deductible for federal income tax purposes, while the
dividends payable by Fleet on the Depositary Shares are not.

    I encourage you to read the enclosed materials carefully. If, after
reviewing the information set forth in the Prospectus and Letter of Transmittal,
you wish to tender Depositary Shares for exchange in the Offer, please either
follow the instructions contained in the Prospectus and Letter of Transmittal or
contact your broker, dealer, commercial bank, trust company or other nominee to
effect the tender for you.
 
    If you need additional information or assistance in connection with the
Offer, please contact the Information Agent, Georgeson & Company Inc., whose
toll-free telephone number is (800) 223-2064, or the Dealer Managers, whose
telephone numbers are set forth on the back cover of the Prospectus.
 
                                          Very truly yours,
                                          Terrence Murray
                                          President and Chief Executive Officer