His body language will tell it's own tale. Remember Van Persie being levels above everyone else in our team and when others were just garbage he'd show frustration? Wenger subbing off Oxlade and Robin quite blatantly showing his disgust at the decision....
When Giroud/Theo completely mess up a flowing move, Ozil either throws his hands up and has a look of anger plastered on his face, or his head will drop and he'll just walk back. It's signs that he's frustrated, almost fed up.
We do have a summer to get a competent striker. However if this summer goes past and nobody is signed he'll prefer to just move on. I would. And we can't blame him. What he brings to a team is to create which he's doing. Ozil is doing his job to another level.