West Bromwich born inside forward Harry Wright began his football career with West Bromwich St Mark’s in 1904 and played for Wednesbury Athletic in 1905 before joining Second Division West Bromwich Albion, for whom he made his Football League debut against Stoke in November 1907. He scored his first goal for the club the following April in a 3-1 win over Fulham but only featured three times in his breakthrough season and twice in 1908-09 before joining non league Stourbridge in the 1909 close season.
He returned to West Bromwich Albion in 1910 and featured more regularly, with 18 starts in 1910-11 as The Baggies won the Second Division Championship, and 42 appearances in 1911-12, including 8 games as they reached the 1912 FA Cup Final, where Wright played as they were beaten in a replay by Barnsley at Bramall Lane having been held 0-0 in the Final at The Crystal Palace, but after 19 appearances in the first half of 1912-13 he lost his place and made only 13 more appearances in the next two and a half years until the suspension of peacetime football due to the advent of the First World War, by when he had scored 20 goals in 98 appearances for Albion.
After the War he joined local Second Division rivals Wolverhampton Wanderers and scored 4 goals in 21 appearances in their 1919-20 campaign, before a move to new League entrants Newport County in the summer of 1920. He scored 4 goals in 17 appearances in Newport’s inaugural season, before joining Third Division (North) Chesterfield in the 1921 close season. However he only played once for The Spireites, in a 1-0 home defeat to Accrington Stanley in October 1921, before retiring from the professional game.