The 21-year-old, who spent the first half of the season on loan at The Racecourse Ground, leaves the club after joining from Ilkeston FC in 2015.
A regular in the team since his loan move to the Racecourse in the July, Wright has formed a fruitful partnership with Sam Wedgbury in the middle of the park and helped push the team into the play-off positions.
Wright is just glad that the negotiations are finally sorted, so he could commit to the club, telling the club`s official website: “It’s brilliant and a long time in coming, as I’ve been here since July. I’ve enjoyed it and it’s been class.
“I’ve got a lot to improve on, but I’m young and learning. I’ve got the gaffer helping me and he was also a midfielder with Wrexham.
“It’s good the boss has faith in me, playing me week in and week out, but I’ve got to repay him now.”
Manager Dean Keates was also happy to see another piece of his squad slot into place: “We have all been pleased with Akil’s progress this season and I’m sure there is plenty more to come from him.
“You can see he enjoys being here and he has certainly played his part in helping the team this season.
“I’m delighted that we have been able to do a deal with Fleetwood Town and that Akil has agreed to an extended contract with us.”
The Derby-based player has appeared twenty times in the first-team this season, but missed all of December with a thigh strain, although he was available again for the New Year’s Day fixture with Barrow AFC at the Racecourse.