Zivic is a surname. Notable people with the surname include:
Claudio D. Zivic (born 1948), general authority of The Church of Jesus Christ of Latter-day Saints (LDS Church) since 2007
Fritzie Zivic (1913–1984), American boxer known as Fritzie Zivic, “The Croat Comet”
Jack Zivic (1903–1973), American boxer who competed in the 1920 Summer Olympics
Peter Zivic (1901–1987), American boxer who competed in the 1920 Summer Olympics
