Sanchez has been mentioned in transfer speculation throughout the summer after entering the final year of his Arsenal contract, with big-spending City and French titans PSG the main pair linked with his services.
He had a scan on Monday, which revealed the extent of the damage, and revealed that he will not be fit to play against Leicester City in tomorrow's English Premier League season opener, and Stoke City the following weekend.
The news and rumours surrounding both Ozil and Sanchez' future with the club could become distracting as the club enter their 2017/18 campaign, and it's imperative that the Gunners focus on securing their Champions League spot with a top four finish instead.
What an Arsenal fan reads: "Alexis Sanchez sticks two fingers up to the fans and runs off with his dogs as he waits for Chelsea/Man City/PSG move to be completed".
Ozil missed the Community Shield win over Chelsea on Sunday after taking a kick to the ankle in training, but hinted on Twitter that he should be fit to face Leicester.
Ozil and fellow midfielder Alex Oxlade-Chamberlain are also out of contract at the end of the season, and offers of more than £50m for either of them or Sanchez would test Wenger's resolve to keep hold of them.
"It's a long time I didn't speak to Nasser, because it's certainly very busy to complete the transfer of Neymar", Wenger told a press conference at Arsenal's London Colney base.
Should Sanchez's move to the Parc des Princes be completed, PSG could end up spending around £440 million on three players.
"I have plenty of uncertainties about the players who didn't play against Chelsea", he said.
"Do you really think that you sit in the dressing room before the game and you think "Oh, I have only one year to go - I will not play well today"?"
The Sun report Arsenal have made a breakthrough in negotiations with the 28-year-old with no other club in Europe prepared to offer him the same amount of money.