He moved to North America for his draft year in 2006–07 to play major junior in the Western Hockey League (WHL) for the Chilliwack Bruins.

He returned to the Bruins for one more season and improved to 83 points, earning him a spot on the WHL West First All-Star Team.

[3] He began playing with the Kings in 2008–09 and scored his first career NHL goal on 20 October 2008 against Peter Budaj in a 4–3 loss to the Colorado Avalanche.

[7] After missing the entire 2023-24 season with exhaustion syndrome, Möller had hoped to resume his career, but on 7 October 2024, he announced his retirement with a statement on Skellefteå's website and social media channels.

The following year, Möller was lent to Sweden's under-20 team by the Los Angeles Kings to compete in his second World Junior Championships in Ottawa.