The Gunners travel to Goodison Park next weekend in a clash that could determine who finishes in the top four places, and Naismith is confident that Martinez is well-equipped to mastermind a win over the North Londoners.
He told Sky Sports News: "We have believed all along that we can compete for the Champions League places, and that's what we will continue to do.
"This win here is just as big as next week is going to be now. I'm sure the manager will have his game plan for it and we'll work on it this week and hopefully get another win."
Saturday's clash with Arsene Wenger's men kicks off at 3pm.