Wragg was spotted by
West Ham United while playing a youth football final at
Wembley in 1953 and signed professional forms with the club in June of that year. He made his debut in an
Essex Professional Cup semi-final game against
Colchester United on 11 November 1954, but his involvement with the army disrupted his football career and he didn't play his first League game until 27 August 1956, against
Blackburn Rovers. Wragg moved to
Mansfield Town in March 1960 and played 13 games that season, scoring 2 goals. He was their top scorer for the
1960–61 season with 11 goals in 33 games. He then moved to
Rochdale and was a part of the team that reached the
1962 League Cup Final. Wragg then dropped down to
non-league football with
Grantham Town. ==References==