"No way, no way," Bilic told British media when asked about reports claiming the club had secured an agent. "He's one of our best players and we want to keep him.
"I know the Chinese clubs sent their representatives to watch our games. Apparently they were watching other players, but they fell in love with Andy. We turned down an offer."
Carroll, who has scored four goals in his last four games, has missed West Ham's league draws against West Bromwich Albion and Watford with a groin injury.
Bilic expects the England forward to make his return in Monday's London derby against league leaders Chelsea.
"I hope he's going to be fit," Bilic added.
"I am always trying to be optimistic but this time it is not crazy optimistic it is realistic that he will be fit and available."
(Reporting by Shravanth Vijayakumar in Bengaluru)
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