Parri is both a surname and a given name. Notable people with the name include:
Surname Annette Bryn Parri, Welsh classical pianist Eirlys Parri (1950–2024), Welsh singer Ferruccio Parri (1890–1981), Italian partisan and politician Líbero Parri (born 1982), Spanish footballer
Given name Parri Spinelli ( – 1453), Italian painter