Thomas Muller revealed he considered a move two years ago to Manchester United and he has not ruled out a move in the future.
Muller was the subject of a €100 million bid in 2015 when Louis van Gaal was manager of United.
"There was a stage when the subject arose two years ago when I considered it, but then the club immediately backed me and I was told I belong here.
"I didn't have to think about it a great deal after Bayern said we are counting on you and that you are an important man for us."
Muller has yet to score during the current Bundesliga season.
Muller was asked if he's considered leaving Bayern.
"Of course, it's possible," he said. "When my time is up, it's up. [Bastian] Schweinsteiger was here for over 10 years and now he's been gone for over two years and another player is here instead.
"It will be exactly the same with me. If I drop dead tomorrow, there will be a funeral, yet on Friday, 11 players will still be out on the pitch. That's life.
"At the moment, I don't think it's going to happen because I am very happy here. However, I'm not saying that somewhere different in the world definitely wouldn't be my thing either.
"If life takes you somewhere else then I would make myself at home there as well. I would follow the same principle as here, enjoying as many good things as possible every day."