The Gunners shot stopper insists his side still have plenty to play for and says they must now focus on beating Wigan at Wembley
Sunday’s defeat leaves Arsene's Wenger men just a point above the Toffees in fourth place, but having played a game more than the Merseysiders, meaning their hopes of securing Champions League football are out of their hands.
However, Szczesny feels his side’s season is far from over, despite a run of just one win in their last six games in all competitions, and has urged them to focus on next weekend’s FA Cup semi-final against Wigan at Wembley.
"We’re not getting the results but we've got plenty to play for still,” he told Sky Sports.
“We've got the FA Cup now, so we're going to have to switch on and focus very quickly and forget about this.
"I hope we can kick on from now and start a good run. It's huge obviously. We know it's the only trophy we can win and it will be a massive boost for the club and the fans."
Everton, meanwhile, still have to face both Manchester City and United in their final six games, and Szczesny remains confident his side can still finish fourth.
He added: "Yes, we've managed to do it every single time so far, so although we haven't been at our very best recently, we believe we can do it, yes.”