In the 2009–10 season, Wyman was recalled from AHL affiliate, the Hamilton Bulldogs, and made his NHL debut with the Canadiens against the Columbus Blue Jackets on November 24, 2009.

[2] On December 20, 2011, as a member of the Lighting, Wyman scored his first NHL goal against Carey Price of the Montreal Canadiens, the team that drafted him.

[5] Wyman left the Lightning organization as a free agent and signed a one-year contract with the Colorado Avalanche on July 5, 2013.

Unsigned, on September 17, 2014, Wyman accepted an invitation to attend the Vancouver Canucks 2014 training camp on a professional try-out.

[7] Upon his release from camp, Wyman signed a one-year contract abroad with German club, Thomas Sabo Ice Tigers of the DEL on October 7, 2014.