The Merseyside outfit closed the gap to the fourth-placed Gunners to just a point after a battling 3-1 win over basement club Fulham on Sunday.
We have a realistic chance to fight for that aim
The Toffees will leapfrog Arsenal into fourth place if they beat Arsene Wenger’s side when they travel to Goodison Park next weekend.
And although Martinez is thrilled with Everton’s recent surge up the table, he insists that Tottenham and Manchester United still cannot be discounted in the race for Champions League qualification.
“Being in this position gives us an understanding of what a good season we’ve had,” said Martinez. “With the points we have, we have a realistic chance to fight for that aim [Champions League qualification].
“I’m not saying we’re going to get that because we admire Arsenal because they get in the Champions League consistently.
“That makes Sunday [against Arsenal] a phenomenal challenge. It will probably go down to the last game of the season.
“Look at the quality and experience of Manchester United and Tottenham, they will fight until the end.
“Mathematically seven teams are fighting for four positions.”
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