Müller started playing hockey at the age of four at UHC Hamburg.[4] He made his debut for the senior team when he was 18 years old. He then played for Rot-Weiss Köln from 2013 until 2018. In 2018 he returned to Hamburg to play for Hamburger Polo Club.[5]
Müller made his debut for the German national team in 2014.[6] He represented his country at the 2016 Summer Olympics, where he won the bronze medal.[7] On 6 December he was named in the squad for the 2023 Men's FIH Hockey World Cup.[8] He played in all seven matches as Germany won the tournament.[9]
