City has been linked with top-class goalkeepers such as Gianluigi Buffon and Iker Casillas in recent months and City boss Mark Hughes has money to spend.
“There’s so much speculation around this club but if you listened to it you would be lost. You would make yourself dizzy,” said Hart.
“With a new manager, everything starts again. The clock starts from zero. But I see it as a challenge – and a positive challenge at that.
“I’m still playing now so I’m happy with how it’s gone. I’m not really worried. There’s nothing I can really do about it.
“Obviously, they want competition at the club but it’s out of my hands really. I just want to keep playing. There’s not just talk of Buffon, there’s talk of anyone.
“There’s Casillas, too. You can name anyone who’s good and he will be linked with City.
“If there’s any truth in it all, I don’t know. I have just got to carry on playing and see how it all pans out.”