EXHIBIT 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 Quarterly Report of ITHAX Acquisition Corp III (the “Company”) on Form 10-Q for the quarterly period ended September 30, 2025, as filed with the Securities and Exchange Commission (the “Report”), I, Orestes Fintiklis, Chief Executive Officer and Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to §906 of the Sarbanes-Oxley Act of 2002, that, to the best of my knowledge:

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

The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: January 27, 2026

	/s/ Orestes Fintiklis
	Orestes Fintiklis
	Chief Executive Officer and Chief Financial Officer
	(Principal Executive Officer and Principal Financial and Accounting Officer)

ITHAX Acquisition Corp III 10-Q