Perez, who joined the club from Deportivo La Coruna in August, sustained the injury following a tackle from Reading substitute Danzell Gravenberch in the second half of Tuesday’s 2-0 EFL Cup triumph.
Wenger, who takes his team to struggling Sunderland on Saturday, told reporters at his news conference: “We’re going to be missing him for a few weeks. It’s very frustrating, he’s absolutely gutted because it’s a stupid injury that’s come from nowhere, a deliberate kick. He will be out for six to eight weeks.
“I think it was more a frustrated reaction from the player but you have to deal with that. In this case it’s unfortunate.”
Arsenal heads into the clash against Sunderland in a rich vein of form, having put together a 13-game unbeaten run.