The ball boy, wearing a Swansea sweatsuit, slowly walked over to pick it up.
Hazard and the ball boy apologized to each other after the game, Swansea said in a statement.
Chelsea's Eden Hazard apologised for kicking a ball boy during his team's Capital One Cup exit to Swansea.
The ball boy furore is the last thing under pressure Chelsea interim manager Rafa Benitez needs just now.
The ball boy later admitted he was wasting time and that was clear to see at the time.
The Belgian was trying to retrieve the ball from under the ball boy, who had fallen on top of it.
The police also said that they had interviewed the ball boy and he did not wish to make any formal complaint.
CNN: Hazard charged with violent conduct over ball boy incident
"The ball boy should have let the ball go, but he was pushed first and then he kicks him, " Laudrup said.
The ball went out of play and, when a ball boy took his time retrieving it, Hazard went to fetch it himself.
"South Wales Police interviewed the 17-year-old ball boy with his father after the game and neither wished to press any charges, " Swansea said.
"Chelsea invited the ball boy into the dressing room after the game to shake hands with Hazard and both parties apologized, " Swansea said.
The saga sparked widespread debate and the ball boy's Twitter account attracted tens of thousands of new followers amid suggestions that he was time-wasting.
BBC: Swansea ball boy Charlie Morgan tweets 'crazy 24 hours'
The 17-year-old ball boy was a child, a volunteer helping out at a professional football match, and he was kicked by an adult player.
While Hazard has been widely condemned and has apologized to the ball boy, there has also been criticism for the youngster's time wasting antics.
CNN: Hazard charged with violent conduct over ball boy incident
"Hazard is sent off for kicking the ball under a ball boy attempting to smother the ball rather than return it, " Chelsea's tweet read.
With the winded ball boy left on the ground, Foy sent off Hazard, leaving Chelsea with 10 men for the remainder of the 0-0 second leg draw.
CNN: Hazard charged with violent conduct over ball boy incident
Hazard lost patience when the ball boy, 17-year-old Charlie Morgan, was slow to hand the ball back to him after it had gone out for a goal-kick.
CNN: Hazard charged with violent conduct over ball boy incident
The ball boy came in the changing room and we had a quick chat and I apologized and the boy apologized as well, and it is over.
The ball boy, who has worked for Swansea for six years, rolled onto his back and clutched the right side of his ribs as he was attended to.
Immediately after the incident Chelsea and Swansea players went to tend to the ball boy, who was left holding his ribs, before referee Chris Foy produced a red card.
BBC: Swansea ball boy Charlie Morgan tweets 'crazy 24 hours'
Less flattering to the tournament though just as talked about was the semifinal fracas when Chelsea's Eden Hazard kicked a Swansea ball boy who was wasting time for the home side late in a game.
In July, as the worst losers in NFL history started summer training camp, Michael Bidwill--a ball boy for the team 30 years ago who had borne the brunt of bullies--gathered the giant men in white helmets and cardinal red jerseys around him.
If initially Hazard was condemned for actions, he also won plenty of support, with the ball boy -- reported by the British media to be the son of millionaire businessman who sits on the Swansea board -- coming in for plenty of criticism.
After the game Hazard apologized to the 17-year-old ball boy, who also said sorry to the Chelsea forward, though the Belgian is likely to be banned for a minimum of three games by the English Football Association for lashing out in the way he did.
The company pounced when the South Korean flag was shown next to North Korean players on a big screen before an Olympic football game in Glasgow in July and when Chelsea's Eden Hazard clashed with a ball boy in Swansea in January, taking out newspaper ads.
With the winded ball-boy left on the ground, Foy sent off Hazard, leaving Chelsea with 10 men for the remainder of the 0-0 second leg draw.
CNN: Hazard charged with violent conduct over ball boy incident
But TV replays showed that in taking a quick throw-in, Rees had used a different ball - handed to him by a ball-boy - to the one that Jonny Sexton had sliced into touch, which is against rugby's Law 19.2.
The ball was handled by spectators, which should have denied Wales the right to take a quick throw-in, but Wales captain Matthew Rees was handed a different ball by a ball-boy and passed in to Mike Phillips peeling round the blind side.
"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, " Hazard told the Chelsea website.
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