Peter Godfrey played for Exeter City in the mid-1960s. Having earlier been with Charlton and Gillingham, he joined the club from Chesterfield and later played for Ramsgate.

Although born in Woolwich, Peter grew up in Cardiff and played for Cardiff Schools and Panteg before signing as an apprentice for Charlton Athletic in January 1953 ahead of turning professional in November 1955. But he had to be content with reserve team football throughout his stay with the club as he featured in just one league game.

Transferring to Gillingham in July 1961, Peter netted nine goals in 66 league outings during his four-year stay at Priestfield having scored on his debut for against Doncaster Rovers. He then signed for Chesterfield in July 1965, but only had one season at Saltergate netting two goals in 27 starts.

Exeter City signed Peter on a free transfer in June 1966 and he made his debut for the Grecians in the opening day goalless draw at Wrexham. Despite being an almost ever-present in the team - with four league goals to his credit - Peter was released on a free transfer in May 1967 and joined Ramsgate.

He later played for Chatham Town and settled in the Medway area.