Cork believes that, due to his efforts in England's top flight this term, Schneiderlin deserves a call up.
"Definitely. He's played every game in the Premier League this year and not been outdone by anyone," he told the Daily Echo.
"He's looked a great player, he's not looked out of place at all, and it's really suiting him the Premier League.
"I don't see why they shouldn't look at him for an international, because he's been brilliant."