EXHIBIT 32.1

CERTIFICATION OF CEO PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
                 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of Zapata Corporation (the "Company") on
Form 10-Q for the period ending June 30, 2005 as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, Avram A. Glazer, as
Chief Executive Officer of the Company, hereby certify, pursuant to 18 U.S.C.
Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of
2002 to the best of my knowledge, that:

     (1)  The Report fully complies with the requirements of Section 13a or 15d
          of the Securities Exchange Act of 1934; and

     (2)  The information contained in the Report fairly presents, in all
          material respects, the financial condition and result of operations of
          the Company.


/s/ Avram A. Glazer
- -------------------------------------
Avram A. Glazer
Chairman of the Board, President and
Chief Executive Officer
August 8, 2005

This Certification accompanies this Report pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002 and shall not be deemed filed by the Company for
purposes of Section 18 of the Securities Exchange Act of 1934, as amended.