Barkley has been touted for a call-up for some time, but after an impressive end to the season and the news of Luke Shaw's selection ahead of Ashley Cole at left-back, it is likely that he will be selected as Hodgson looks to name a youthful squad for the tournament in Brazil.
Neither Barkley nor Stones played in Everton's last game of the season on Sunday - a 2-0 win away at FA Cup finalists Hull City - and Martinez indicated that he rested the duo in anticipation of a full summer of football.
"There is always the opportunity of representing the senior side," he told reporters. "But, if not, there is the Toulon tournament. One way or another they are going to be busy.
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"Nowadays you get so many stats and so much information about how the body is recovering that sometimes you get a clear indicator of a body having a bit of a risk of injury and today I wasn't going to take a risk with any of the players.
"We had Steven Pienaar coming back, we had Sylvain Distin coming back. It was important to use the players that were ready to play. And that's what we've been doing all season.
"The real advantage of players at the age of 19 or 20 is that you need one week to regenerate and you are brand new. As long as you give them two or three days to recover and do some work with them they are ready to face whatever comes their way."
Following a week in which the fortunes of the England national team were linked with the number of players plying their trade in the top flight by Football Association chairman Greg Dyke, Martinez declared that Everton will continue to rely on homegrown talent in order to facilitate the successes of the national side.
"I trust Roy Hodgson's vision," Martinez said. "I'm a big admirer of his experience. As a football club all we are is happy to produce as much English talent as we can.
"We got two very experienced footballers with Phil Jagielka and Leighton Baines - they've been involved in the last two years in the qualifiers. Even Leon Osman has been involved and then Gareth Barry has been sensational all season. Nobody knows, he could have a great chance.
"And as youngsters Jon Stones and Ross Barkley are two names that have been involved in the under-21s so the FA and Roy Hodgson know them extremely well after two fantastic seasons.
"Whatever the national team decides we'll be happy to help. We are very proud of our players representing their countries."