Hazard was sent off by referee Chris Foy in the second half after he appeared to try and kick the ball from underneath a ball boy who was laid prone on the ground.
Chelsea players reacted angrily when Hazard saw red, believing he had tried to get the ball loose to restart play as the Blues failed to make any inroads on Swansea's 2-0 advantage from the Capital One Cup semi- final first leg.
South Wales Police last night said they intended to interview the youngster.
The incident overshadowed the Welsh side's progress to the showpiece after a 0-0 draw saw them book a Wembley date against League Two side Bradford City.
"I saw it from a very big distance from the bench," said Laudrup.
"I've since seen it after the game. Hazard is a great player. When he sees the images I think he will regret it," he added.
The Dane denied the club had given the ball boys instructions to hold onto the ball when it went out of play.
"No, no. Definitely not," he said. "I think he was pushed and on top of the ball. I can understand all the frustrations when you are behind."
Chelsea's official Twitter feed commented: "Has football gone mad? Hazard is sent off for kicking the ball under a ball boy attempting to smother the ball rather than return it."
Laudrup, meanwhile, described Swansea's upcoming final against Bradford – whose giant-killing run has seen them beat Premier League opposition in Wigan, Arsenal and Aston Villa – as a fairytale for both clubs.
"This final is between the small fairytale and the huge fairytale. If we are the small fairytale what can you say about Bradford?" he said.