The billionaire suggested this week that the Gunners need new players in every position and that Wenger has not learned from previous mistakes in the wake of the weekend's 2-1 loss to Manchester United.
Usmanov's words did not resonate well with the Frenchman, who has been the subject of criticism on many occasions in his career, and indicates that it should be a time when everybody sticks together at the Emirates Stadium.
"Over the 18 years I've been here I've shown I can take criticism, and everybody has the right to an opinion," said Wenger.
"Having said that, we have values at this club. The first is that when we go through a difficult patch we show solidarity - that's a very important one.
"The second one is that when we have something to say to each other we say it face to face - we don't need to go to the newspapers.
"Believe me, I don't take it personally at all. It is an opinion that I respect, but when you're from this club you're from this club. You're in or out - you cannot be both."
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