The 34-year-old has made 12 appearances in the Bundesliga this season, but only one of them has been as a starter.
He said that he does not feel wanted at the Allianz Arena, and described the silence over his future as "annoying".
"Every time, I think I will play and then it comes to nothing. That's annoying," the Ukrainian told Kicker.
"I can't talk to the club about a new contract when I'm not playing. No-one has spoken to me.
"That really annoys me and as I don't play I can't really discuss a new contract with the club. Nobody from the club has spoken to me, so I think I'll leave."
Tymoshchuk joined Bayern from Zenit St Petersburg in 2009.