Rubuta ci gaba don wannan sakin layi - Bayan kakar wasa ta biyu tare da IceDogs, Strome ya cancanci shiga National Hockey League (NHL) Entry Draft. An zaɓe shi a zagaye na farko, na biyar gaba ɗaya, a cikin shirin 2011
da New York Islanders suka yi. Har ila yau, kungiyar Amur Khabarovsk ta Kungiyar Kwallon Kwando ta Kontinental ta zaba shi a cikin shirin su na 2011. Bayan an tsara shi, Strome ya sake yin wani kakar wasa tare da IceDogs kafin ya shiga kungiyar 'yan wasa na' yan wasa na Amurka (AHL), da Bridgeport Sound Tigers a kakar 2012-13. A tsakiyar kakar wasa ta gaba, a ranar 11 ga Disamba, 2013, an kira shi zuwa Islanders bayan ƙungiyar ta sanya Pierre-Marc Bouchard a kan 'yanci don yin sarari a cikin jerin sunayensu. Kafin kiran sa, yana jagorantar AHL a maki ta hanyar wasannin farko na 23 na kakar wasa. Strome ya zira kwallaye na farko na NHL a ranar 6 ga Janairu, 2014 a kan Kari Lehtonen na Dallas Stars.