The Brazilian bagged 10 goals for a relegation-threatened Everton side and provided five assists last season.
He was the one of the engineers as Everton fought immensely to stay in the Premier League.
But while Wilshere admitted that the Brazilian is a good player, he isn’t worried about the forward joining Arsenal’s north London rivals.
He told TalkSport: “I think he improves the squad, definitely… he gives them something different.
“I wouldn’t say I’m gutted [he’s not signed for Arsenal].”
But the former midfield maestro said if there’s any manager who can get the best out of Richarlison - it’s Spurs boss Antonio Conte.
“He’s 25, so not young. There comes a point where you’re going to have to turn that potential into something,” Wilshere said.
“But to be fair if any one can do it, it’s Antonio Conte.
“I wouldn’t say I’m devastated as an Arsenal fan but he could be one to watch, he could be really good.
“Yeah but I don’t think he gets in the XI. He’d definitely challenge for it and be a good part of the squad but I don’t think he gets in the XI.”
Check out the latest Premier League transfer speculation below...

1. Saints agree Lavia deal
Southampton have agreed to pay up to £14m for Manchester City prospect Romeo Lavia. (Daily Mail) | Getty Images

2. Everton in defender talks
Everton are in negotiations to sign Udinese defender Rodrigo Becao, but an agreement is still some distance off being reached. (Gianluca Di Marzio) | Getty Images

3. Gunners update on Tielemans
Arsenal have already agreed personal terms with Leicester City midfielder Youri Tielemans, but are yet to table a formal bid for the Belgian. Any deal could cost up to £32m. (Ben Jacobs) | Getty Images

4. Roberts in demand
Leeds United forward Tyler Roberts is drawing interest from a number of Championship clubs after they were alerted to his availability. QPR, Hull City, Birmingham City, Cardiff City, and Huddersfield Town are all keen on the Wales international. (Daily Mail) | Getty Images