Kammala jumla mai zuwa: Zastryzny ya fara kakar wasa ta 2016 tare da Tennessee, kuma ya sami ci gaba a tsakiyar kakar wasa zuwa Iowa Cubs na Class AAA Pacific Coast League. A ranar 19 ga watan Agusta, Cubs sun inganta shi zuwa manyan wasannin. Zastryzny ya yi wasanni 11 don Cubs don gama 2016, kuma ya gama 1-0 tare da 1.13 ERA. A ƙarshe Cubs za su ci nasara
Gasar cin Kofin Duniya ta 2016, ta kawo karshen shekaru 108 na fari. Zastryzny ya lashe gasar cin kofin duniya ta farko. An kara Zastryzny a cikin jerin 'yan wasa na Gasar Zakarun Kasa ta 2016, inda ya maye gurbin Tommy La Stella wanda ya kasance a cikin jerin' yan wasa na Gasar Zakarun Kasa ta 2016. Kodayake ya cancanci yin wasa, bai bayyana a kowane wasan NLCS ba. An maye gurbin Zastryzny da Kyle Schwarber a jerin sunayen 'yan wasa na Duniya na 2016. An nada shi don aiki a ranar 1 ga Satumba, 2018. An sake shi zuwa AAA a ranar 3 ga Satumba, 2018. Kungiyar Cubs ta saki Zastryzny a ranar 25 ga Maris, 2019.