Kammala wannan jumla: Graham ya kasance 155th overall da New York Islanders a cikin
2012 NHL Entry Draft kuma ya sanya hannu kan yarjejeniyar shiga tare da tawagar a ranar 31 ga Mayu, 2014. Ya shafe yanayi uku tare da 'yan wasan kungiyar kwallon kafa ta Amurka na' yan wasan Bridgeport Sound Tigers, da kuma sihiri a cikin ECHL don Florida Everblades da Missouri Mavericks, kafin ya sanya hannu kan kwangilar shekara guda tare da Colorado Avalanche a ranar 26 ga Yuli, 2017.