The North London outfit lost ground in the race when they suffered a 1-0 loss to arch rivals Tottenham Hotspur on Saturday.
"There are still loads of games and big teams can lose against smaller teams," the London Evening Standard quotes Bellerin as saying. "It happens every week. We have the faith to make the top four and the Champions League next year.
"I feel like in the first half [against Tottenham] we were just waiting for things to happen, we didn't have the initiative to go forward, to keep the ball and that's our game and if we can't play our game things don't go our way so it's something to learn from."
Arsenal will get an opportunity to win silverware this weekend when they face Manchester City in the final of the EFL Cup.