Arsene Wenger has revealed that the Belgian centre-back is in contention to face Chelsea, while the English midfielder will make his comeback for the Under-21s in the next week
Vermaelen missed the 1-1 draw against Manchester City last weekend, while Wilshere has missed over a year of football following ankle problems.
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Laurent Koscielny deputised for Vermaelen against the champions and scored the goal that preserved Arsenal's unbeaten start to the season. Per Mertesacker has also been outstanding at the heart of Gunners' defence of late, but Wenger dismissed the notion of him facing a selection headache.
"I have selection solutions, not selection problems. You want two players in every position. Rosicky is two weeks away, Szczesny is two or three weeks away," he told the club's official website. "If we do well at home against the strong teams it will have a big impact on our chances.
Wenger also stated that Wilshere will be back to play on Monday night for the Under-21 side, but that he will not feature in the upcoming World Cup qualifiers for England. Emmanuel Frimpong is also set to return after a long lay-off with two knee injuries.
He added: "Jack will play on Monday for the [Under-21s]. He will play an hour. We have to be patient. I think that [the England games] will be too early for him.
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"It is fantastic for him. When you are at that age and are out for such a long time, it is absolutely massive to take [for] him and Frimpong.
"Frimpong had two knee injuries, Jack had two setbacks. It is massive for them to come back and for us as well."
Wenger also spoke about Saturday's opponents Chelsea, adding that John Terry's recent international retirement was a surprise to him, and that he certainly does not miss Didier Drogba, who left the club in the summer.
"I don't know if Chelsea miss [Drogba], but we don't miss him. He did a lot of damage against us," Wenger added.
"[John Terry's retirement] was a surprise to me. If it's how he feels you have to respect the decision.
"[Chelsea] were efficient [in Europe] They showed tenacity, a bit of luck too, and you have to congratulate them. I am not surprised that [Eden Hazard] has gone to Chelsea and is straight away one of their stars.
"We will know more about us on Saturday afternoon, but much more about us after 10 or 15 games."