Snodin is confident Barkley would never consider a move to Merseyside rivals Liverpool.
He told the Daily Star: "He didn't get as much game-time as he would have wanted at the World Cup but he looked bright and energetic. He will have his time.
"If he's going to go anywhere, which he probably will do one day, he will go to one of the top clubs in Europe. And if he does happen to go in the next few seasons, he'll go for a lot of money.
"But I'm not thinking about Ross Barkley leaving.
"He's got another few seasons at Everton first."
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