In five league games, the former Tottenham striker has collected seven goals and three assists.
During his playing career, Muller scored 568 goals and made 102 assists in 611 competitive matches for Bayern Munich.
"I wanted to find out what he was like and how he played. He was an incredible goalscorer and above all, from what I heard, an incredible person," Kane told Abendzeitung München.
"It is very special for me to be able to follow in his footsteps."