Coscia is an Italian surname. Notable people with the surname include:
Agustín Coscia (born 1997), Argentine footballer Aristide Coscia (1918–1979), Italian footballer and manager Benedict D. Coscia (1922−2008), American-born Brazilian Franciscan friar and Roman Catholic bishop Gianni Coscia (born 1931), Italian jazz accordionist Hugo Coscia (born 1952), Argentine footballer Niccolò Coscia (1681–1755), Italian cardinal Raffaele Coscia (born 1983), Italian footballer