Zarzycki (feminine: Zarzycka, plural: Zarzyccy) is a Polish surname. Notable people with the surname include:
Aleksander Zarzycki (1834–1895), Polish pianist, composer and conductor
Ferdynand Zarzycki (1888–1958), Polish general and politician
Jerzy Zarzycki (1911–1971), Polish film director
Wojtek Zarzycki (born 1982), Polish-Canadian retired footballer
Zbigniew Zarzycki (born 1948), Polish former volleyball player