Tottenham and Birmingham have been linked with a move for the winger several times this season.
Reports says Celtic boss Tony Mowbray would be willing to sell the winger in order to get funds for the January transfer window.
“I’m still fairly young,” McGeady said. “I’m 23 and every player has aspirations to play at the top level and I won’t deny that I feel that way too but things are starting to go a bit better here than they were before.
“I’m happy at Celtic. There was a point a few months back when I probably wasn’t but I’m starting to get back to enjoying it the way I did before and that’s down to the change of style in the football we’re being asked to play.
“Of course, it’s down to the club. If a team comes in with a bid then I’m still under contract until 2013. Like I say, though, everyone wants to play in England or abroad and I won’t deny I have those ambitions.
“However, it’s not up to me whether or not I go. Of course, I’m aware of the transfer talk and I’m very flattered by it but I don’t take too much notice. If a bid comes in and the club accepts it then that’s not down to me.”