32.1 CERTIFICATION 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
Annual Report of Flanigan’s Enterprises, Inc., (the “Company”) on Form 10-K for the fiscal year ended October
3, 2020, as filed with the Securities and Exchange Commission of the date hereof (the “Annual Report”), I, James
G. Flanigan, Chief Executive Officer and President of the Company, certify, pursuant to 18 U.S.C. SS.1350, as adopted pursuant
to ss.906 of the Sarbanes-Oxley Act of 2002, that:
1) This Annual Report on Form 10-K
of the Company, to which this certification is attached as a Exhibit, fully complies with the requirements of Section 13 (a) or
15(d) of the Securities Exchange Act of 1934; and
2) The information contained in this Annual
Report fairly presents, in all material respects, the financial condition and results of operations of the Company.
|| /s/ James G. Flanigan|
||Name: James G. Flanigan|
||Chief Executive Officer and President|
The foregoing certificate is provided
solely for the purpose of complying with Section 906 of the Sarbanes-Oxley Act of 2002 and for no other purpose whatsoever.
Notwithstanding anything to the contrary set forth herein or in any of the Company’s previous filings under the Securities
Act of 1933, as amended, or the Securities Exchange Act of 1934, as amended, that might incorporate the Company’s future
filings, including this annual report on Form 10-K, in whole or in part, this certificate shall not be incorporated by reference
into any such filings. A signed original of this written statement required by Section 906 has been provided to the Company
and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.