Ku qor sii wadida cutubkan - 1983/84, Murzyn wuxuu ku biiray darajooyinka waaweyn ee yaryar, isagoo ka ciyaaray WHL-ka Calgary Wranglers laba xilli ciyaareed. Ka dib markii uu ciyaaray 31-dhibcood xilli ciyaareedkii rookie-ka ee 1983/84, wuxuu ku riyaaqay sanadkiisii labaad oo aad u waxtar badan iyadoo Wranglers ay diiwaan gelisay 32 gool iyo 92 dhibcood si uu u hoggaamiyo dhammaan difaacayaasha kooxda ee dhaliyay gool. Waxaa loo magacaabay kooxda WHL West First All-Star Team, Murzyn wuxuu ahaa rajada labaad ee darajaynaya NHL Central Scouting Bureau ee loogu talagalay 1985 NHL Entry Draft
, oo ka dambeeya garabka kooxda Spartans ee Michigan State Craig Simpson. Waxaa laga soo xulay kaalinta shanaad ee guud ahaan kooxda Hartford Whalers ee qorshaynta 15-kii Juun, 1985.