Martinez, who along with Jones has brought three key members of his Wigan backroom staff with him to Goodison Park, has earned a reputation for getting his teams to play attractive football.
It represents a slight shift from what players have been used to under David Moyes and Jones thinks it will be important to keep the best of the predecessor's approach but introduce new ideas.
"I think the key here at Everton is to get the balance between what's gone on before and what we can bring to the table," he told Everton's official website.
"What Everton have achieved is sixth place in the Premier League, which is fantastic. We need to match that and do better over a period of time. It's a great challenge.
"It's a fantastic group of players. That's there for everybody to see. More than talent, you have to look behind that and you can see the character of the players."
Specifically, Jones recalls last season's game at the DW Stadium when Everton salvaged a late draw, saying: "I won't forget the game at Wigan in October when they were 2-1 down with half an hour to go.
"The impression from being on the opposite management team was that this group of players aren't going to stop until they get something out of the game.
"It was such a positive statement. Then you come into the club and you hear about the quality of the people not just the quality of the players.
"That's what's exciting because it is a great platform to start work on."
Jones, who was officially confirmed in his post on Thursday, admits it is a step up for everyone who has made the switch from Wigan but one they are confident about making.
"It wasn't a difficult decision to join Everton but it was a difficult decision to leave Wigan because I had four years there as a player and four years there as assistant manager," he added.
"You have a certain attachment to any club - if I have eight years at Everton it would certainly be difficult to leave.
"You meet good people but we felt like the time was right, the opportunity was right and we took it. We are ready to go.
"It is the next step for us and it's a huge club with huge tradition.
"You notice the great standards straight away when dealing with the people in and around the club. The club motto (Nothing but the best) certainly rings true."