Nyorai kuenderera mberi kweiyi ndima - Mueller akasarudzwa 8th yakazara nePhoenix Coyotes mu2006 NHL Entry Draft
. Anotamba ari pakati. Akatamba muUSA Hockey chirongwa chekuvandudza mwaka wa2004-05 asati aenda kuWestern Hockey League's Everett Silvertips. Akatevera aimbova Breck High School teammate Blake Wheeler kuenda kuCoyote, achiita shanduko kuNHL mumwaka wa2007-08. Nemhaka yezviito zvake zvinoshamisa muhafu yekutanga yegore ra2007-08, Mueller akasarudzwa kuti atambe mu2008 NHL YoungStars Game muAtlanta. Akatora rake rekutanga basa NHL hat-trick kurwisa Anaheim Ducks musi waNovember 7, 2007.