New Everton assistant manager Jones believes the challenge facing the new Toffees boss is to successfully blend two different styles without compromising results.
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 is a more open, possession-based style than the current Toffees squad have been used to under predecessor David Moyes.
Jones said it was important to retain elements of the past while introducing a new culture.
"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 said.
"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."
Many of the squad returned to pre-season training yesterday, with others who have had international commitments staggering their return, giving Martinez and his team a chance to get their first look at the players they will be working with.
Not that many need introductions as Jones said they were well aware of what they had inherited from Moyes.
"It's a fantastic group of players. That's there for everybody to see," he told evertontv.
"More than talent, you have to look behind that and you can see the character of the players.
"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 finished 2-2 thanks to an 87th-minute Leighton Baines penalty).
"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 was officially confirmed in his post yesterday, although a deal with Wigan had been done earlier in the week to release them from their contracts without the need for compensation.
The new Everton assistant manager admits it is a step up for everyone who has made the switch from the DW Stadium 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."
Everton are still waiting to finalise deals to reunite Martinez with former Wigan players Antolin Alcaraz and Arouna Kone.
Newcastle were given permission to speak to the latter yesterday but the striker appears keen to work with his former manager again.
Alcaraz, as a free agent, was expected to have signed by now but the paperwork is yet to be finalised.