In March 2015 he earned a move to Football League side Fleetwood Town, making an appearance on the bench in the league against MK Dons.
In the 2016/17 he moved out on loan to National League side Barrow, making over 20 appearances to aid his development.
In the July 2017 he joined the Dragons on a trial basis playing four matches, impressing manager Dean Keates who decided to bring him in on a six-month loan from the Cod Army.
He made his debut as a substitute late on during the curtain raiser of the 2017/18 campaign against Macclesfield Town, and started his first match seven days later in a 1-0 away defeat to Dover Athletic.
In January 2018 Wright had impressed Dragons boss Keates so much that he opted to sign the midfielder permanently, where he penned a two and-a-half year deal at the Racecourse.