Peter Joseph Fitzgerald (born 16 June 1937) is an Irish former professional footballer.
Born in Waterford, Fitzgerald was a centre forward who had made his name in Ireland with Waterford United F.C. and St Patricks Athletic before moving to Holland with Sparta Rotterdam. He moved to Leeds United in August 1960 but played only 8 times for the club before moving on to Chester City F.C. for a fee of £5,500 a year later. After a good two years at that club, scoring 12 goals in 80 games, he returned home to Ireland in September 1963 to play for Waterford.