The former Tottenham striker has been linked with a summer return to England.
But after last night's 2-2 draw at Champions League opponents Arsenal, Kane said: "I really enjoy my experience in Germany. It was a step I needed in my career for a new stimulus, a new challenge and new surroundings and I'm really glad I took the step.
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"My future is in Bayern Munich. I have a four-year contract. I'm enjoying it and hopefully I'll be able to make something special happen this season.
"If not, I'll be ready to drive again in the summer and turn things around."