The 40-year-old is convinced his side are yet to reach their full potential and believes they can challenge for a Champions League place once they are fully settled
|6/4||William Hill are offering 6/4 for Everton to beat Palace with Romelu Lukaku scoring on Saturday|
The Spaniard arrived at Goodison Park in the close-season and has overseen a run in which the Toffees have lost just once in their opening 10 league matches, leaving them in seventh place and only a point behind Chelsea in second.
Martinez has also begun to change Everton's style of play and he is confident that, once they reach their full potential, they can challenge for a Champions League place.
"We need to find a way to break into the top four," he told reporters ahead of Saturday's trip to Crystal Palace. "How long it takes, I don’t know.
"I feel that the league is really competitive, every team wants to win. That creates big surprises and an increased level from every team.
"I don’t feel we've fulfilled our potential as a squad yet. When we do, the perception will be really positive."
The Toffees travel to Palace on Saturday afternoon, with the London side struggling at the foot of the Premier League table.