The Toffees failed to take their chance to leapfrog Arsenal into the final Champions League qualifying spot following a shock loss to the Eagles.
I don’t think Arsenal will get full points from now until the end of the season. When there is only one point difference, it is reliant on what we do
Fourth-placed Arsenal have a one-point lead ahead of their trip to Hull City, whilst Martinez’s men take on defending champions Manchester United at Goodison Park.
And the Spaniard is confident that Everton can still secure fourth spot, tipping Arsenal to drop points in their final four Premier League games of the season.
“It was a hurtful defeat given the expectation we had,” said Martinez.
“Crystal Palace were the worst opponents we could have faced for a game like this. Everything was stop-start and they know how to use those moments.
“If you’d given us this position at the start of the season I’d have called it magnificent. We’re fifth, one point behind Arsenal and with a better goal difference.
“I don’t think Arsenal will get full points from now until the end of the season. When there is only one point difference, it is reliant on what we do. I truly believe it is in our hands.”
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