The Toffees have started life under the new manager well with five wins from their first nine games, and the former Wigan boss believes his team will continue to improve with time
The Merseyside club have made a solid start to the new Premier League campaign in Martinez's first season in charge at Goodison Park, sitting sixth in the table after Saturday's 2-0 triumph away at Aston Villa.
The run-in to the busy festive schedule will represent a real test of Everton's ability to keep pace with their fellow top-four contenders with games against Tottenham, Liverpool, Manchester United and Arsenal to come within the next six weeks, but Martinez is confident his side can continue to gel as a unit.
Everton are 9/5 with Paddy Power to finish in the top six of the Premier League
"We have a special group of players with terrific support and every game is a unique opportunity to enjoy our football and take as many points as we can. But we are still developing and growing.
"It is early days but everyone has played a massive role in a good start and we want that to continue."