2003-04: Played for the U.S. NTDP U-17 team.
2004-05: Played for the U.S. NTDP U-18 team. Played for Team USA at the Four Nations Cup Tournament and the Five Nations Tournament. Also played for Team USA at the U-18 WJ, which took home gold.
2005-06: Joined the Everett Silvertips in the WHL. Finished fourth in team scoring and tied for second in scoring in the post season. Was named Greyhound WHL Player Of The Week: October 17-23. Played in the 2006 CHL/NHL Top Prospects Game, where he was named captain for Team Cherry. Was named Greyhound WHL Player Of The Week: April 3-9. Named Silvertips Rookie of Year. Earned the Jim Piggott Memorial trophy, which is given to leagues top rookie. Played for Team USA at WJC in Vancouver, B.C.
2006-07: Finished second on the team in scoring behind Zach hamill but led all Tips players in scoring during the post season. Was named Silvertips Assistant Captain for the season. Was named Greyhound WHL Player Of The Week: October 30-November 5. Was named HUSKY WHL Player of the Month – November . Was a Western Conference All-Star – First Team. Played for Team USA at WJC in Sweden.
Mueller moves with deceptive efficiency and demonstrated an ability to control play in the attacking zone. Perhaps viewed more as a finesse player, Mueller has the size to become a more physical force in the WHL.
Mueller didn't receive a qualifying offer from the Avalanche and was signed as a free agent by the Florida Panthers.