The fifth-placed Toffees travel to Old Trafford two points above the champions in the table.
Despite a potentially difficult match for his side, Martinez believes that the Merseysiders can earn a positive result against the Red Devils.
"I do feel the game at Old Trafford is as big a test as we are going to get but after 13 games in the league I feel we are ready for that," Sky Sports News quotes him as saying.
"The success of a team over the course of a season is measured when you can be yourself wherever you go and whoever you face."
Everton head into the match on the back of Saturday's comfortable 4-0 win at home to Stoke City.