Parrett is an English surname. Notable persons with the name include:

Aaron Parrett (born 1967), American professor, author, musician, and letterpress printer Dean Parrett (born 1991), English footballer Dennis Parrett (born 1959), American politician Favel Parrett (born 1974), Australian writer Jeff Parrett (born 1961), American baseball pitcher William F. Parrett (1825–1895), U.S. Representative from Indiana William G. Parrett (born 1945), American CPA, management in finance