Liverpool have been heavily linked with the Switzerland international, while Ligue 1 giants Monaco are reported to have joined the chase in recent weeks.
A lack of regular first-team football in Germany has sparked the speculation, with Shaqiri often forced to settle for an impact role off the bench.
The 22-year-old is held in high regard at the Allianz Arena, though, and is tied to a contract until 2016.
With there a reluctance on Bayern’s part to enter in sale talks, Shaqiri concedes that he is unlikely to be on the move during the summer window.
He told BILD: “I am a player of Bayern Munich as I am under contract with the club.
“Basically, I believe I will be staying on at Bayern Munich.
“But as long as the transfer window is open, anything could happen in the very end.”
Bayern have admitted to receiving approaches for Shaqiri, but chairman Karl-Heinz Rummenigge has revealed that all advances have been knocked back.
He told the club’s official website: “We’ve had several enquiries from teams in England and Italy.
“I’ve never had a conversation because we are convinced he will have a good career with us. He must stay healthy, (but) the coach is convinced by him.”