Laudrup admitted the decision to dismiss Carroll was "harsh".
He said: "I think there was contact, but I think it was a bit harsh, contact like we see a lot of times in every game.
"The rules say if there's an intention it's enough. It's like if you come in for a tackle and you don't catch the player, but you could've and it could be a red card anyway."
Laudrup was yet to speak to Flores about the incident immediately after the match.
The Swansea boss lamented his side's failure to cope with Carroll.
"We really struggled with them physically," Laudrup added. "It's a little disappointing that the first goal came from exactly the situation we analysed and talked about before the game.
"The second goal is disappointing as well."