Everton are reported to have had Westwood watched on a number of occasions this season but City boss Chris Coleman says no bids have been received for the Republic Of Ireland international.
"There have been no offers, no conversations, no nothing and I don't want any," said Chris Coleman to the CT.
"I know David Moyes very well and he's a man I admire enormously; take away Sir Alex Ferguson and you won't get much better than David Moyes.
"He's a terrific man, but he'll have a fight on his hands if he's looking at any of our players.
"David is very disappointed about the way that Manchester City have handled the Joleon Lescott thing because he's not had enough time to go out and get a replacement," said Coleman, "and it would be the same for us if we lost one of our players at this stage of the season.
"Where could we get a replacement? "It's one thing if you're selling players at the start of the summer but something else again if you're only three or four days away from the end of the transfer window.
"Keiren's not going anywhere unless somebody's going to come up with 10 million quid - then we might say yes."