Chelsea's Belgium forward must serve a three-match suspension for a straight red card after kicking at 17-year old Charlie Morgan to free the ball after he lay on it during the Capital One Cup semi-final at The Liberty Stadium.
"I saw what happened, and there is no doubt in my mind that Eden did nothing wrong and that the authorities in England should be suspending the ball boy for three or four years," said Wilmot, ahead of Belgium's game with Slovakia next Wednesday.
"He is the one who should be punished, not Eden, because he was lying on the ball and quite wrongly holding up play.
"Eden tried to get the ball back to get the game going again as quickly as possible, and who can blame him for that?
"During the game, he received one kick after another, yet always showed admirable restraint.
"He had never been shown a red card in his life, so it was a shame that his first should happen in circumstances like that. It was wrong."