Despite Swans manager Michael Laudrup's claims, Vermaelen feels that Wilshere is one of the best in the world.
"He's a world-class midfielder and he showed again today, he played really well and was important for us," said Vermaelen.
"I'm really happy for him that he got the goal, and happy for the team."
Full-back Kieran Gibbs, who like Wilshere recently signed a new deal with the club, agrees with his skipper.
"To be honest, I thought he was close to his best when he first came back," Gibbs said. "I of all people know what it's like to come back from injuries. It's not easy at all.
"He's come straight back into the picture and for me he's a world-class player and a pleasure to play with."
Arsenal will make the visit to Brighton & Hove Albion in the fourth round of the competition.