Win against West Ham moves them out of the bottom three.
They picked up a seventh consecutive win in front of their own fans with a 4-1 thumping of West Ham.
“This afternoon we saw rock and roll football at the Liberty,” Carvalhal said.
Carlos Carvalhal West Ham Premier League
“There are moments in football where you must dance to the music of the opponents.
“Against Liverpool, Arsenal and Tottenham, we had to dance to their music, but today we put our music in the game. We put rock and roll into the stadium.
“We made things very difficult for West Ham I think. It was the best performance since I arrived and this is nearer to what I want from the team – offensively, defensively, in transitions and at set-pieces.
“We are happy that we won, but we still have a long way to go.”
Despite shooting up the table, the Swans are only three points clear of the relegation zone ahead of next weekend’s trip to Huddersfield.
“We took an important step this afternoon, but life continues and there’s still a lot of work to do,” Carvalhal added.