The French star wants to leave Arsenal, and Wright wants to see the West Ham United loanee replace him.
Arsenal's Mathieu Debuchy warms up
Debuchy is widely expected to leave the Emirates this summer after falling down the pecking order at the club.
Arsenal's Hector Bellerin in action with Norwich's Cameron Jerome
He is currently second choice to Hector Bellerin, and spent the second half of this past season on loan at French side Bordeaux.
He has not hidden his desire leave, openly commenting several times that he wants to leave Arsenal this summer.
That has not impressed Wright, who has hit out at the player on Twitter and called for the club to replace him with Carl Jenkinson.
Get Debuchy out ! And bring Jenkinson back! At least you know with him it's do or die!— Ian Wright (@IanWright0) June 8, 2016
Idiots talking about Jenkinson being average! Debuchy is apparently not, but can't wait to get out the club.— Ian Wright (@IanWright0) June 8, 2016
Arsenal's Theo Walcott, Mathieu Debuchy, Kieran Gibbs and manager Arsene Wenger
Jenkinson has certainly done his chances of first team football no harm with his performances at West Ham last season.
He largely impressed, and certainly did enough to prove he would be an able deputy for Hector Bellerin at Arsenal.
However, that taste of regular action is sure to have made him want more in future and there is every chance he could also seek an exit to secure it.
West Ham United's Carl Jenkinson