The Gunners are two points ahead of Manchester United at the top of the Premier League table, but have now played a game more than the defending champions.
Despite having not won in the Premier League since February 11 after three successive draws, the mood within the Arsenal camp remains positive.
Van Persie, 24, returned to action as a second-half substitute at Wigan following the latest lay-off of what has been an injury-plagued campaign.
It was a first appearance since January 9 for the Dutchman, who opened the campaign in superb form with seven goals from 11 games before being hampered by knee and muscle problems.
"I started the season with very big ideas, my ambition was very high and it still is," van Persie told Arsenal TV OnLine.
"I have missed many games - but I am thinking positive at the moment and I want to end this season good with the team.
"I am happy to be back and am quite positive that we can win the league and the Champions League."