Wright made his Football League debut on 4 October 2014, coming on as a 42nd-minute substitute during Chesterfield's 3–2 League One victory against Sheffield United. He replaced Jay O'Shea in a tactical substitution following Tommy Lee's red card.
On 29 August 2015, Wright joined Bradford Park Avenue on an emergency loan.[2] He made his début the same day in the club's 4–4 draw with North Ferriby United.[3] In May 2016, Wright was released by Chesterfield. He joined Buxton following his release.
In June 2022, Wright was confirmed to have joined Hallam.[4]
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