The Gunners dropped points in their quest for Champions League qualification yesterday when they played out a 1-1 draw with Manchester United at the Emirates Stadium.
"I think we've dealt with it well," Ramsey told the club's official website. "We're on a good run at the moment. Chelsea and Tottenham have to play each other so somebody has to drop points there.
"We're concentrating on our own game at the moment. We believe we can win the remaining three fixtures that we have left and get nine points out of them. I'm sure if we do that, we'll be in the Champions League next year."
Arsenal are currently in fourth place, one point behind Chelsea and two points ahead of Tottenham Hotspur.