Debuchy, who struggled for game time at the Emirates due to Hector Bellerin's form, has admitted that he was "disappointed" not to have had the chance to join United.
"Yes, at the end of the transfer window [United] came in," Debuchy told Canal +."They contacted my agents. I was disappointed, obviously. If I had the chance to go to Manchester United it would have been magnificent.
"Unfortunately it wasn't the case. I discussed it with the coach too, who said that obviously he couldn't help out a rival.
"Yes, I'm a little bit annoyed with him [for not playing me]. It's his choice. I came back well this summer, I had a good pre-season. I was able to talk to him to know my future at Arsenal. He said that I would have game time and that we would discuss it in December."
Debuchy was also linked to Aston Villa during the winter window.