Barkley, who returned from a knee injury in the 3-0 victory over Aston Villa on the weekend, is expected to start against Lille on Thursday evening, and Martinez is certain that the 20-year-old will gain valuable experience from the unique challenge posed by foreign sides.
"I think the bigger the challenge for Ross, the bigger the response," the Spaniard told reporters. "It is such a joy to see his big smile getting on the plane.
"He has missed two important Europa League games and I know he has found it difficult. To see him back on Saturday was a real positive for us.
"I think one of the benefits of getting into the Europa League was for the young players to get that European experience. It is important for them to face different teams that require new tactical problems. Straight away it develops your understanding and awareness."
The Toffees are currently top of Group H on four points from two games.