Approximately 65,000 tonnes of LNG imported from the UAE changed hands in the trade, it said in a statement.
TotalEnergies confirmed to Reuters that the transaction involved LNG imported from the UAE but did not comment further.
CNOOC did not immediately respond to a request for comment.
China has placed an emphasis on settling oil and gas trades in yuan in recent years in a bid to establish its currency internationally and to weaken the dollar's grip on world trade.
Russia has increasingly embraced the yuan amid Western sanctions.
During a visit to the Saudi capital Riyadh in December
President Xi Jinping announced that China would "make full use"
of the Shanghai exchange as a platform to carry out yuan
settlements of oil and gas trades.
(Reporting by Andrew Hayley; additional reporting by America
Hernandez in Paris; editing by Jason Neely)