Kammala jumla mai zuwa: A ranar 18 ga Yuli, 2016, Sanatocin sun yi musayar Zibanejad zuwa New York Rangers (tare da zagaye na biyu a cikin
2018 NHL Entry Draft) a musayar Derick Brassard da zagaye na bakwai a cikin 2018 NHL Entry Draft. A ranar 20 ga Nuwamba, 2016, yayin wasa da Florida Panthers, Zibanejad ya sami mummunar rauni a lokacin karin lokaci lokacin da ya yi aiki da ƙafafunsa na hagu a cikin allon yayin ƙoƙarin shiga gaban Reilly Smith. Bayan wasan, wanda Rangers suka rasa 3<unk>2 a cikin harbi, an sanar da cewa ya karya fibula na hagu kuma zai rasa makonni shida zuwa takwas. Ya dawo cikin sahun Rangers a kan Dallas Stars a ranar 17 ga Janairu 2017; ya ci kwallaye biyu a cikin rashin nasarar Rangers 7<unk>6.