John Fabyan Parrott (August 8, 1767 - July 9, 1836) was a United States Representative and a Senator from New Hampshire.
Born in Portsmouth, Parrot was a member of the New Hampshire House of Representatives from 1809 to 1814 and also held various local offices. He was an unsuccessful candidate for election in 1812 to the Thirteenth Congress, but was elected to the U.S. House of Representatives, serving from March 4, 1817 to March 3, 1819. He was then elected to the U.S. Senate and served from March 4, 1819 to March 3, 1825. He was a Democratic Republican (later Adams-Clay Republican).
Later, in 1826, he was the postmaster of Portsmouth. He was also a member of the New Hampshire Senate from 1830 to 1831. He died in Greenland, New Hampshire and was intered in the family burying ground on the Parrott estate.
His sons included Robert Parker Parrott and Peter Parrott.