Ozil and fellow star Alexis Sanchez could both leave the club on free transfers next summer when their current deals expire, with negotiations having been shelved this spring amid the uncertainty surrounding Arsene Wenger's future.
But with Arsenal reluctant to let him leave for free at the end of the campaign, Wenger admits they could cash in on him in the New Year.
"I have always said that the fact we didn't find an agreement previous year doesn't mean the player will necessarily leave".
"It is possible", he said when asked at his weekly press conference whether either or both could leave the club in January.
For the past few years the Gunners have forced to accept Sanchez being overworked throughout the summer on worldwide duty, reporting back for club duty without a long break.More news: Nissan made a DualShock-controlled auto to promote 'GT Sport'
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Meanwhile, Wenger said he would be speaking to Sanchez to assess his mental state after the striker and his Chile side missed out on a place at next year's World Cup finals. "At the moment, we are not close enough to announce anything".
The 25-year-old Germany worldwide limped off with a first-half injury as the World Cup holders completed a 100% record in qualifying for Russian Federation 2018 by thrashing Azerbaijan 5-1 on Sunday.
'I will have to speak to him, ' he said ahead of the match.
"I believe he and Ramsey are winners and will want to focus on winning things".
"Jack can open space, he can play in tight areas and can get out of them".
Another possible departure from Arsenal in January is Jack Wilshere, after reports indicated he was considering leaving the club in order to force his way into England's World Cup squad. I will always appreciate him.