Kammala jumla mai zuwa: An rubuta Suzuki a zagaye na 1, 13th gaba ɗaya, a cikin Zaɓin fifiko na OHL na 2015 ta Owen Sound Attack. A lokacinsa na OHL na 2016/17 ya kasance na biyu a cikin kwallaye da aka zira (45) da na biyar a cikin maki (96), an sanya shi a rukunin OHL All-Star na biyu kuma ya lashe William Hanley Trophy don Mafi yawan 'yan wasa. A ranar 23 ga Yuni, 2017 Suzuki an tsara shi a zagaye na 1, 13th gaba ɗaya, a cikin
2017 NHL Entry Draft da Vegas Golden Knights suka yi. A ranar 16 ga Yuli, 2017, Suzuki ya amince da kwangilar shekaru uku tare da Vegas Golden Knights. An gayyaci Suzuki zuwa sansanin horar da Knights kafin kakar 2017/18; duk da haka, an yanke shi kuma an sake sanya shi zuwa OHL kafin a sanar da jerin sunayen karshe. A ƙarshen kakar 2017-18, an zabi Suzuki don Red Tilson Trophy da William Hanley Trophy. Bayan da aka kawar da Owen Sound Attack daga wasannin OHL na 2018, an sake sanya Suzuki zuwa kungiyar AHL ta Knights, Chicago Wolves.