Mueller attended Temple University, playing all four years for their varsity soccer team. Throughout his four years at the college, Mueller registered 70 appearances, scoring once and tallying four assists.[2]
In July 2018, Mueller returned to Europe, signing with National League North club Southport.[4] He made his league debut for the club on August 7, 2018, playing the entirety of a 3–1 home defeat to Altrincham.[5]
In March 2020, Mueller returned to the States once again, signing with USL League One club Tormenta FC.[6][7] He made his competitive debut for the club on July 25, 2020, playing the entirety of a 2–2 home draw with the Chattanooga Red Wolves.[8]