The 32-year-old made a deadline day loan move to Goodison Park, having been deemed surplus to requirements at Manchester City.
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"I see him getting back in the England team because there are not many like him," the Spaniard told the Daily Mirror.
"He has ambition to play for England again and that's very important, not just for the future, but for the games now because at 32 I consider him at his peak."
The combative midfielder was shipped out to Martinez's side after a host of high profile signings were made by Manuel Pellegrini, and Barry admits he was disappointed to be told he was no longer needed.
"When somebody does not have that trust in you, you want to show that you can still do the job," said Barry.
"I will be doing it for Everton and that is what I will be concentrating on. But it is always disappointing being told that your services are not really needed," he added.