The England international has missed 15 months of action through injury but was listed among the substitutes for the Gunners' 1-0 defeat at Norwich City on Saturday.
Mertesacker moved to the Emirates Stadium last summer and is yet to feature for the club alongside the 20-year-old.
"It would be good to have Jack Wilshere back soon," Mertesacker told the Sunday Express.
"I haven't played with him yet, but I can feel the sense of excitement around the club that he may be close to returning.
"You can sense it everywhere in the place. And I think it would be very good for the English national team."
Wilshere has been capped five times for England.