Why would he?
He has all of the leverage here. Walk at seasons’ end and get a big payday. See that Arsenal are desperate and get a big raise.
Then again, it may not be about the money. He might just want to play the remainder of his career for a team that has a legit chance to challenge. Arsenal are in this crappy spot due to Wenger’s Cech only summer and the window after that.
I would like for Ozil to stay as he is one of the few things about Arsenal worth watching. Can’t fault him if he chooses to move on. Either way, no reason to sign a new deal now.