Kammala jumla mai zuwa: Tyrell ya kasance zagaye na biyar na Yarima George Cougars a Yammacin Hockey League (WHL) Bantam Draft a shekara ta 2004. Ya bayyana a wasa daya a wannan kakar kafin ya kafa kansa a matsayin na yau da kullum tare da Cougars a 2005-06. Ya zira kwallaye 30 a kakar wasa ta biyu, kuma an zaba shi a zagaye na biyu na gasar zakarun Turai.
2007 NHL Entry Draft ta hanyar Tampa Bay Lightning. Bugu da kari, ya fara buga wasan farko na kasa da kasa ga tawagar matasa ta Kanada a gasar Super Series ta 2007, inda ya zira kwallaye daya a wasanni takwas, amma ya kasa shiga tawagar a gasar zakarun duniya na 2008 na Junior Ice Hockey.