The Toffees have enjoyed an impressive start under their new boss, sitting sixth in the Premier League table heading into next Saturday's clash with Liverpool, who are in second place, three points ahead.
Coleman admits the Goodison Park game will be the perfect opportunity for the Everton players to bounce back after a frustrating 0-0 draw at bottom side Crystal Palace last time out.
The clash will also pit former Swansea and Wigan boss Martinez against another former Swans manager, Brendan Rodgers.
Coleman told the Liverpool Echo: "It will be interesting.
"With it being the manager's first one we'll be looking to prove a point and it's a big game in terms of the table as well.
"I'm sure the manager will want us to take the frustration of the Palace game and go and beat Liverpool.
"He will be looking at the tapes of the Palace game this week, analysing it, and then moving forward to start thinking about Liverpool."
Before the derby is the international break but Martinez believes it has not dented the eager anticipation for the game.
The Everton boss added: "It's such an exciting fixture, you can tell it's got a special feel about it and especially now that both teams are in very good positions after good starts to the season.
"It's going to be a good fixture - an important fixture.
"Obviously, when the players are away on international duty, that's where the frustration arrives because you can't really control what they're doing. But the communication with national teams is pretty good in all the cases and we can monitor what they do and how well they get on with all of their work.
"And then, the hardest part of it is to try to get them ready for the weekend.
"But for everyone who has been left behind, it's a good opportunity to work individually and try to regenerate the bodies after the first third of the competition."