The Cameroonian veteran joined the Toffees from Chelsea in August this year, despite reported interest from a multitude of other clubs including West Ham United, Liverpool and Ajax.
Martinez is quoted by the Daily Mail as saying: "All I want is for [Eto'o] to enjoy his football and convey the winning mentality he has to the rest of the team.
"He could have chosen any league in the world. He chose Everton because he wants to be successful. He's here and I see him as a gift from the footballing gods, and I am happy for him to enjoy it."
As per the terms of his contract, Eto'o is guaranteed an extra season at Goodison Park if he makes at least 15 starts for the Merseyside outfit.