Cool (CLCO) 6-K Cool Company Ltd. Announces Multi-Year Forward Time Charter

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

Form 6-K

REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 OR 15d-16 UNDER THE SECURITIES EXCHANGE ACT OF 1934

For the month of May 2023

Commission File Number: 001-41625

Cool Company Ltd.
(Translation of registrant's name into English)

2nd floor, S.E. Pearman Building
9 Par-la-Ville Road
Hamilton HM11
Bermuda
(Address of principal executive office)

Indicate by check mark whether the registrant files or will file annual reports under cover of Form 20-F or Form 40-F.
Form 20-F [ X ]      Form 40-F [   ]

On May 17, 2023, the Registrant issued a press release, a copy of which is attached hereto as Exhibit 99.1 and is incorporated herein by reference.

(c) Exhibit 99.1. Press release dated May 17, 2023

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

	Cool Company Ltd.
	(Registrant)
Date: May 17, 2023	/s/ Richard Tyrrell
	Richard Tyrrell
	Chief Executive Officer