The Swans brushed aside the Bantams 5-0 in London to secure their first piece of major silverware in their history and Laudrup was impressed by his side who managed to overcome a League Two outfit who had previously taken Wigan Athletic, Arsenal and Aston Villa to the sword.
"They had never been behind against Premier League teams, so we had to move the ball at good pace and we have to score the first goal," he told Sky Sports 1.
"And after getting second goal it was a little easier.
"I think we played a very good game and moved the ball around, I think we did great.
"When you are 3-0 up and with confidence like that you see the difference from a Premier League side and League Two but I have to say what Bradford have done this season is impressive, although it is also impressive what we have done."