Vermaelen was a hit at Emirates Stadium last season after joining the club from Ajax.
“It is not easy when you come from another country because the Premier League is the hardest league in the world,” he told Arsenal TV Online.
“I learned a lot from playing at a higher level, I have learned from different situations in the games, so I hope that I can improve next year.
“This year it did not work out, but we have a lot of good players and a good team with a lot of quality.
“We have to continue what we have been doing, we are working hard.
“I am convinced that next year we can win trophies with this team.
“We had a lot of injuries, and if we can all be fit for a long time next season, it will be a good year for us,” added Vermaelen.