Boateng has played in every match for Bayern so far this season, impressing at the heart of a Bayern defence that has raced to the top of the Bundesliga table.
The German international believes that moving away from Manchester City last year has proved to be an important step in his career.
He told the club's official website: "I finally have fully arrived here at Bayern Munich.
"At this club, it is really not hard to feel comfortable. The move here [from Manchester City] was an important step for me.
"I always want to play and so far I do not feel any wear. "I give everything and try to keep this level or improve it further."
Bayern return to Champions League action in midweek with a home match against Lille.