Wenger is keen to add further reinforcements to his squad over the summer and will now move on to the second part of his plans.
"[We want to make early signings] if possible, yes," he told Arsenal Player. "We wanted at least one target to be sorted out early.
"Now we are in a position where the second part of our signings will be to take care of the players who are injured and to get them back for the start of next season.
"I think of course about Jack Wilshere, and about Abou Diaby. Per Mertesacker I think will be ready at the start of next season. Then, if you look at our squad, we have quite a big one and before we buy again we have to look at how many players we will have.