The Football Association had attempted to extend the standard three-game sanction for violent conduct.
However, the west Londoners managed to persuade an independent regulatory commission that the supension was sufficient.
The Belgian playmaker lost his patience with the 17-year-old, who held on to the ball, as the Blues slipped to a second-leg defeat in the Capital One Cup encounter at the Liberty Stadium on 23 January. The player had denied the charge.
After the incident, the Belgian told ChelseaTV: “The boy put his whole body onto the ball and I was just trying to kick the ball and I think I kicked the ball and not the boy. I apologise.
“The ball boy came in the changing room and we had a quick chat and I apologised and the boy apologised as well, and it is over. Sorry.”
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