The Toffees closed the gap to the fourth-placed Gunners to just four points thanks to battling victory over Fulham on Sunday.
Hopefully we can put things right from last time we played them and get a Champions League spot
Roberto Martinez’s side could leapfrog Arsenal into fourth place if they beat the Gunners when they travel to Goodison Park on Sunday and win their game in hand.
And midfielder McCarthy is convinced that the Merseyside club have what it takes to beat Arsene Wenger’s men.
“It was a big three points [at Fulham] and now we have Arsenal at home which is going to be a big one,” McCarthy told evertontv.
“I’m sure the fans will come out in their numbers, hopefully we can put things right from last time we played them [in the FA Cup] and get a Champions League spot.
“They put us out of the cup and losing is never nice. It’s going to be a big ask but we will give it our best shot. It’s in the balance and if we want it, it’s there for us.
“As a squad we believe we can do it but there is a long way to go.”
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news