Sunderland, and Carroll's former club Newcastle, have been linked with moves for the 27-year-old striker, amid reports the Hammers were considering cashing in on a player with a bad injury record.
But Bilic has no intention of getting rid of Carroll, who has looked back to his best recently and scored two goals in his last two matches.
"The club are not willing to listen to offers," Bilic said
"We want Andy to stay and perform like he does in most games.
"Nobody at the club wants to sell him, he's a very good player
But whenever he scores a couple of goals the rumours start.
"The only way he can stop the rumours is to play badly, which we don't want him to do.
"We don't want to sell him
He's very good in the dressing room and I know he's happy here."
Bilic also reported positive fitness news regarding midfielder Manuel Lanzini.
It was feared the Argentinian would be sidelined for up to six weeks with the thigh injury he suffered against Liverpool last Saturday, b ut Bilic said: "He's working hard on his recovery and hopefully he will be back in two or three weeks."
Victor Moses will not be fit for Saturday's FA Cup tie at home to Wolves, but is due back in full training next week, while striker Diafra Sakho could be back at the beginning of February following a thigh injury.
Source : PA
Source: PA