In Hebrew, name Zack means – Diminutive of Zachariah: The Lord has remembered, and of Isaac: He laughs. Laughter. The only son born to Abraham and his wife Sarah (in the Old Testament). Famous Bearer: Nickname of American president Dwight D. Eisenhower (1890-1969).. Other origins for name Zack include – Hebrew, Israeli, English. Name Zack is most often used as a boy name or male name.