The 26-year-old Belgian stopper has been central to the Gunners' resurgence this season, as the club slowly climbed the table to put themselves back in contention of the UEFA Champions League places.
But despite their impressive return to form in September, Vermaelen is convinced that the best is yet to come.
"If you can stick together for a long time as a group, then you can grow and get better and better," he told Arsenal Player. "You have seen over the past few weeks and months.
"Nowadays in football it is not easy to keep a group together and be with the same players for the next few years, but I hope we can manage that. If you can do that for the next few years, that would only be good."
After a string of impressive early-season performances, Wenger was quick to tie the Arsenal defender down to a new long-term contract at the Emirates Stadium.
Vermaelen revealed he had no hesitation in committing his future to north London, and hopes his agreement will be the first in a line of many first-team players to sign new deals with the Gunners.
"I will always give 100 per cent on the pitch," he added. "I don't know if I will play well or not, but I will always give 100 per cent, try to defend as well as I can and try to lead this team to success."