Vermaelen believes that Arsenal will have to win their remaining games this season if they want to pip Everton to the final Champions League spot.
"It was a very important win," the Belgian defender told the club's official website. "All the games we have coming up now are massive.
"We recovered well over the last couple of days and we knew we had a short recovery time but we worked hard for these three points.
"Every game has to be won now, this was one of them and I'm happy we did the job. Sunday is another one we need to win as well."
Arsenal are back in action on Sunday when they travel to fellow FA Cup finalists Hull City in the Premier League.