Canzani is a Spanish-language surname. Notable people with this surname include:
Carlos Canzani, 1980s Uruguayan rock musician Joseph Canzani (1915–2008), American art teacher, president of Columbus College of Art and Design Pájaro Canzani, Uruguayan rock musician, former member of Chilean band Los Jaivas Pia Nancy Canzani, competitor for Maryland in Miss World USA 1972 & Miss Maryland World 1972 Yaiza Canzani, Spanish and Uruguayan mathematician