Fischetti is an Italian surname. Notable people with the surname include:
Danilo Fischetti (born 1998), Italian rugby union player Charles Fischetti (1901–1951), American mobster Fedele Fischetti (1732–1792), Italian painter John Fischetti (1916–1980), editorial cartoonist Matteo Fischetti (1830–1887), Italian pianist and composer Michael Fischetti (born 1936), American actor Odoardo Fischetti (1770–1827), Italian painter Rocco Fischetti (1903–1964), American mobster Ronald Fischetti (1936–2023), American lawyer Vincent Fischetti (born 1940), American microbiologist and immunologist