The new Toffees manager is preparing to work with the first-team squad for the first time when the club begins its pre-season training next month.
The Spaniard told the club's official website: "There's a lot of talk about finding different styles and being attractive to watch.
"Clearly I'm excited about bringing a mixture of what Everton represents and what Everton stands for together with my beliefs in the game and taking all the good things that Everton have done over the last few seasons. That's a unique combination.
"That's what I'm really looking forward to, coming up with a unique Everton style. We all need to drive together to be a team that can carry on being competitive in every game we go into, slowly growing into something special."
Martinez was appointed as David Moyes's successor earlier this month.