The 19-year-old was selected for the senior national team by Roy Hodgson after impressing in the Toffees' opening three league fixtures, and Martinez is thrilled that Barkley has a chance to impress on the international stage.
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"He is a player with special potential and he has been involved in every level for England. He is a player well-known by the FA so it is very pleasing when he gets the call from the senior side.
"He is a boy who is dedicated to football. He loves the game, and is a true professional. He is not a player who needs to be reminded to be realistic or to keep working hard.
"He is very well rounded and someone who wants to fulfil his potential and in that respect it speaks volumes of the people who work at the club developing the youngsters."
Martinez also refuted claims that Barkley wasn't ready to play for England, and believes the experience of training with the senior side will help his development.
"Ross is the first one to understand he is still in the middle of his development and getting that call from England will be great for him to train with the senior side," continued the former Wigan manager.
"Even though he knows full well that his role is with the Under-21s at the moment, and to carry on at club level performing in the role he has been for the last four games.
"It is a nice reward, and a nice sign that the England manager is keeping an eye on him but it doesn't mean too much in terms of changing the role of Ross."