It has been claimed in the German media that the 26-year-old will look to leave Coface Arena at the end of the season.
However, Muller says that he intends to honour his contract, which has 18 months left to run.
"There is no truth in those stories," Muller told reporters. "I am a player of FSV Mainz 05 and I like being at our club.
"Most of all I have a contract left to go at Mainz, I am under contract until June 2015."
Muller has scored seven goals in 14 Bundesliga appearances this season.