After a 31-point rookie campaign in 1983–84, he enjoyed a highly prolific second year with the Wranglers recording 32 goals and 92 points to lead all team defencemen in scoring.

A prolific scorer in junior, Murzyn established himself as primarily a stay-at-home defender in the NHL, noted for his strength in dealing with opposing forwards in front of the net and in the corners.

[2] The following season, his first full campaign with the Flames, represented the highlight of his career, as he helped Calgary to a Stanley Cup championship in 1989, defeating the Montreal Canadiens in six games.

Murzyn remained with the Flames for two more seasons before being dealt to the Vancouver Canucks at the trade deadline on March 5, 1991, for Ron Stern and Kevan Guy.

[13] He returned to the lineup to play in eight post-season games in 1995, but the remainder of Murzyn's career was hampered by knee problems, eroding his mobility, which was already noted as one of his weaknesses.

[14] In the first month of the 1996–97 season, Murzyn was on the receiving end of a slashing incident with Edmonton Oilers forward Louie DeBrusk on October 6, 1996.

[2] The following season, Murzyn split the campaign between the Canucks and their American Hockey League (AHL) affiliate, the Syracuse Crunch, before finishing his fourteen-year NHL career by announcing his retirement in 1999 at the age of 32.

[17] After finishing his NHL career in Vancouver, he returned to Calgary, where he has lived in the same neighbourhood as two of his Flames teammates from the 1989 Stanley Cup-winning team – Joel Otto, and Colin Patterson.

[18] In his post-NHL career, Murzyn has worked as a butcher,[19] had invested in a liquor store in Airdrie, Alberta (interests since sold) and has built spec homes in the British Columbia Interior.