Wenger, 64, takes charge of Arsenal for the 1,000th time on Saturday when they travel to Chelsea for a crucial Premier League clash, although it could in theory be his last trip to Stamford Bridge with his contract expiring at the end of the campaign.
However, Vermaelen said the Gunners squad are keen to continue working with the Frenchman, who insists there is no 'uncertainty' about his future.
"It's incredible - not a lot of managers do that nowadays because they come in and out, so for him to achieve 1,000 games is something unbelievable," said the Belgium defender.
"Everybody wants him to stay as long as he can. He's been incredible with what he's done for this club and for the players as well."
Vermaelen has found himself on the bench for long periods of the season due to the form of Per Mertesacker and Laurent Koscielny but he bears no ill will towards Wenger.
"We would be really happy to see him signing on for a few more years," Vermaelen added.
"If you see him off the pitch there's always a lot of hunger in him and a lot of ambition still. He's not losing that at all."