The former Portsmouth man has been linked with moves to both Old Trafford and Anfield although, as exclusively revealed by Goal.com, Liverpool are also eying Jack Butland, with Arsenal preparing to move for Pepe Reina.
The Bosnia-Herzegovina No.1 has impressed with his performances at the Britannia Stadium as Tony Pulis’ side have kept more clean sheets than any other team this season, but he insists he has no immediate plans to leave.
"It's very flattering," Begovic told Sky Sports News. "It's positive feedback from other teams that people are looking at you and mentioning you with those teams.
He added,"It's no secret that everyone has their own ambitions and they want to be playing at the highest level possible.
"But right now I'm just focused on taking Stoke forward and I think the club here has a lot of ambitions; the chairman, the manager and everyone else included.
"So we just want to keep pushing this club forwards and see how far we can take it."