Kammala wannan jumla: Murray an zaba shi ne na 54 da Montreal Canadiens a cikin
1994 daga Kamloops Blazers na Yammacin Hockey League kuma ya fara aikinsa na National Hockey League tare da Canadiens a cikin NHL na 1994-95. Ya kasance tare da ƙungiyar don mafi kyawun shekaru uku kafin ya kasance wani ɓangare na kasuwanci tsakanin Montreal, Phoenix Coyotes da Hartford Whalers a ranar 18 ga Maris, 1997. An fara cinikin Murray zuwa Phoenix tare da Murray Baron don Dave Manson sannan aka yi ciniki zuwa Hartford don Gerald Diduck. A kakar wasa ta gaba Whalers ya koma Raleigh, North Carolina kuma ya zama Carolina Hurricanes. Ya buga wasanni bakwai don Carolina kafin a yi masa musayar zuwa Ottawa Senators don Sean Hill A ranar 23 ga Maris, 1999, an sake cinikinsa sau ɗaya, a wannan lokacin zuwa Chicago Blackhawks don Nelson Emerson da kuma zaɓaɓɓen zaɓaɓɓu, amma ya buga wasanni huɗu kawai don ƙungiyar kafin ya sami rauni a kafada. A cikin kaka na 1999 Dallas ta yi ikirarin cewa ya yi watsi da shi. Ya raba lokaci tare da su da kuma ƙungiyar gonarsu, Michigan K-Wings na International Hockey League. Ya sanya hannu tare da St. Louis Blues don kakar 2000-2001, amma an sauke shi zuwa Worcester IceCats na Ƙungiyar Hockey ta Amurka. A can ya sha wahala abin da daga baya ya zama rauni na ƙarshe. Ya shiga kungiyar Toronto Maple Leafs a cikin kaka na 2001 a cikin wani yunƙurin da bai yi nasara ba don gyara raunin da ya yi ba, kuma ya yi ritaya a ranar haihuwarsa ta 27, 25 ga Oktoba, 2001.