With his contract at the Emirates expiring next summer, the German will be free to negotiate with other clubs come the New Year. If United throw their hat into the ring it would see Ozil faced with a potential reunion with Jose Mourinho.
The pair worked together for three seasons at Real Madrid, elevating the 29-year-old from boy wonder to one of the game's finest midfielders.
Furthermore, the Special One was never short of praise for his German playmaker. Mourinho reflected in 2013: "Ozil is unique. There is no copy of him – not even a bad one. He is the best number 10 in the world."
And although their relationship remained amicable right until Mourinho's exit in 2013, the Portuguese felt as frustrated as some Arsenal fans regarding Ozil's perceived lack of effort.
While some highlight reels would suggest the German can be quite the workhorse, he is often seen dragging his feet across the pitch and executing some questionable tracking back.
That was certainly the case in September 2012 when Deportivo la Coruna came to the Bernabeu.
Despite leading 3-1 at half-time, Mourinho was absolutely livid with his midfielder's performance and could be seen barking expletives at Ozil from the touchline.
The Manchester United manager was recorded lamenting Ozil for not making runs into the box as well as simply standing around waiting for passes. It's entertaining stuff.
The Canal+ touchline video - seen below - provided subtitles and the video from 2012 is pretty spectacular. Watch from 1:22 onwwards.
According to Goal.com, the gist of his rant was vastly apparent in his call of: “You want the ball to your feet, you have to move!”
While the subtitles also document shouts of: "Mesut! F**k! Arrive in the box! F**k!"
"You standing there with your foot on the ball! F**k, Mesut!"
So it's fair to say Mourinho wasn't best pleased and - perhaps unsurprisingly - Ozil was subbed off at half-time for Sergio Ramos. What happened in the dressing room has previously been recalled by the 29-year-old.
He remembered his manager's rant: “Oh, are you giving up now? You’re such a coward.
"What do you want? To creep under the beautiful, warm shower? Shampoo your hair? To be alone? Or do you want to prove to your fellow players, the fans out there, and me, what you can do.”
Let's hope he puts in a little more effort if he moves to United or there could be some rather fiery audio coming from Old Trafford this season.
Do you think Mesut Ozil would be a good signing for Manchester United? Have your say in the comments section below.