The midfielder suffered a triple leg break and his new manager believes the difficult experience early in his career has made him a more mature player.
Barkley enjoyed loan spells in the Championship after his recovery and, after being thrust into the starting line-up, Martinez feels the youngster is fully prepared to handle his increased profile.
|50/1||Ross Barkley is 50/1 with bet365 to score as Everton beat Chelsea 2-1 on Saturday
"He’s seen both sides of the game as a footballer, being injured with such a horrific injury.
"Something like that puts you career in perspective and tells you everything could be taken away from you. Probably that has given him a unique maturity for such a young man.
"He’s also been out on loan. He’s played in the Championship. He’s played at different clubs, different styles of football. He’s been through absolutely everything. The good thing about Ross is that he never gets carried away, nothing fazes him."
Martinez, who has history of blooding new talent, says Barkley will not rest on his laurels and is keen to constantly learn and improve his game.
He continued: "Believe me, Ross is not one of those who says ‘did you see the game I played last week?’. He’s the opposite. He’ll be asking ‘how can I improve, how can I get better?’.
"Ross is a listener. He can’t get enough information He always wants to know what he can do better, how he can play the game in the better way.
"In the same way that he was really excited about going away and playing for the England senior team first time, he’s excited about this weekend and playing Chelsea.
"He’s such a talented footballer. I’m extremely excited about his future because I think he can reach unseen levels."