Three points for the Toffees will put the Premier League title race back into the hands of their Merseyside rivals, who are at the top of the table with two games left to play.
City have three games remaining and maximum points will likely send the coveted trophy to the Etihad Stadium on May 11, but Martinez has insisted that his team will "give everything" against the current favourites.
"It is going to be a phenomenal test and we want to finish really strong at home," Martinez told reporters in Thursday's press conference.
"I always felt the relationship between the two clubs in the city has had incredible chapters and this would be another fascinating chapter. There is no doubt of our integrity - we want to win every game we go into.
"We are looking at ourselves because these are precious points. We can't afford not to give everything we have. Helping other teams is not the way we do things. We focus on trying to win for ourselves."
Everton, who have two games left to play, are four points behind Arsenal, who currently occupy the final Champions League spot.