Razzi is an Italian surname. Notable people with the surname include:

Antonio Razzi (born 1948), Italian politician Claudia Razzi (born 1962), Italian voice actress and dubbing director Maria Angelica Razzi, Italian sixteenth century nun and sculptor Ottobuono di Razzi (died 1315), Italian clergyman and feudal lord, Patriarch of Aquileia Serafino Razzi (1531–1613), Italian Dominican friar