Muršak first played hockey in Slovenia as a member of HDK Maribor before he left to spend one season in the Czech junior league.

He was then selected by the Detroit Red Wings in the 2006 NHL Entry Draft and moved to the major junior Ontario Hockey League (OHL) and played for two teams, the Saginaw Spirit and Belleville Bulls.

After finishing his junior career Muršak then joined the Red Wings American Hockey League (AHL) affiliate, the Grand Rapids Griffins in 2008.

He had a successful first season for Saginaw which earned him a playoff call up for the Grand Rapids Griffins, AHL affiliate to the Detroit Red Wings.

[4] Due to the 2012 NHL lockout, Muršak signed a temporary contract with the Slovenian hockey team HDD Olimpija Ljubljana of the EBEL league.

[7] After re-establishing his offensive presence in 3+1⁄2 seasons with CSKA Moscow, Muršak left the club as a free agent and opted to continue in the KHL in signing a one-year contract with Torpedo Nizhny Novgorod on May 1, 2017.