The Germany international came through the youth ranks at Bayern and his progress has led to rumours of interest from clubs around Europe.
Badstuber is under contract with the Bundesliga leaders until 2014 and the 23-year-old says there has yet to be an offer which would tempt him into leaving Bayern.
"I am just 23 years of age, but you cannot rule out a move away from the club in the future," Badstuber told kicker-Sportmagazin. "I am an inquisitive man.
"Actually, I am with Bayern Munich. And I really like playing for the club.
"I am really, really happy about being a Bayern Munich player. Until now I have not received an offer that would have tempted me. Maybe it's because everyone knows how much I like being at this club."
Badstuber has been forced to play at left-back for a large part of the season due to an injury to David Alba, but now wants to focus on his more familiar role at centre-half following his team-mate's return to fitness.
He added: "The situation has changed. I want to play in central defence again."