Zanni is a surname. Notable people with the surname include:
Alessandro Zanni (born 1984), Italian rugby union footballer Chiara Zanni (born 1978), Canadian actress Dom Zanni (born 1932), former right-handed pitcher in Major League Baseball Matteo Zanni (born 1987), Italian ice dancer Reto Zanni (born 1980), Swiss football player Marc Zanni Vilamitjana (born 1969), Spanish voice actor