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."