The youngster was slow giving the ball back when Cesar Azpilicueta was attempting to take a quick throw in the 1-0 Blues defeat.
The frustration was clearly getting to the Chelsea boss after an abject performance when he confronted the ball boy.
Mourinho said he was trying to avoid an incident similar to when Eden Hazard was sent off for kicking a ballboy at Swansea last season.
‘I thought Cesar Azpilicueta was going to lose emotional control (with the ballboy) and the kids are educated to do this but if a player hits a ballboy then the person who educates them disappears and the player is in trouble for pushing or punching the kid.
‘I had a chance to get the kid and the kid was cute and I told him “you do this, one day somebody punches you”. We saw what happened with Eden.’
The referee saw the incident, but didn't include it in his post-match report.
Jose Mourinho laid into his big-name players for going missing in the shock 1-0 defeat at Crystal Palace — and he conceded Chelsea are out of the title race, despite hanging onto top spot after Manchester City could only draw 1-1 at Arsenal.
He had nothing but praise for defenders such as John Terry, whose 52nd-minute own-goal handed Palace their unexpected triumph.
But when asked what quality Chelsea needed to win the Premier League title, Mourinho wrote on a piece of paper: 'balls'.
He tore into his attacking gems who failed dismally to light up Selhurst Park, just as they’d failed to inspire Chelsea when they crashed to defeat at Aston Villa two weeks ago.
Mourino said: ‘Clearly we have some players who because of their profile they find it difficult to perform in some profile of matches.’