The England international was taken off during the Gunners' 2-1 defeat to Borussia Dortmund in the Champions League on Tuesday and was seen nursing some ice on his ankle on the bench afterwards.
Despite his history of long-term ankle problems, Wilshere has assured the fans that there is nothing to worry about.
"I jarred it when I was going through [on goal]," Wilshere told reporters. "My ankle stopped and my body went over it and I jarred it a little bit.
"For five or 10 minutes it was painful, then I ran it off, but it made sense to put ice on it. I've done that before, even before I had surgery. It is just one of those things.
"Obviously I will have treatment because it is still a bit swollen, but I should be all right for the weekend."
Arsenal travel to Crystal Palace in the Premier League on Saturday.