The Spaniard will take charge of his first home game on Sunday when Real Betis head to Merseyside for the Toffees' final pre-season friendly.
The manager told the club's website: "It will be special being at Goodison as the home team manager for the first time.
"I've already had the opportunity to see what a magnificent away support we have, not just in the UK.
"I know how intense the feeling at Goodison can be and that's a very important weapon that we need to use in the future."
Martinez left the managerial post at Wigan Athletic to replace David Moyes earlier this summer.