Caulker scored twice, either side of Lewis Holtby's equaliser, in Saturday's crucial Premier League relegation clash.
A Sascha Riether own goal later on wrapped up the points for Ole Gunnar Solskjaer's men.
Speaking to Sky Sports after the game, Caulker said that he hoped the victory would provide the Bluebirds with the confidence to go on and survive in the Premier League.
He said: "It was a vital win. It was a must-win game and I am pleased we put on a decent performance for the fans.
"We were determined to make up for recent disappointments. We have a lot of spirit and you saw how we responded after Fulham equalised.
"If we carry that on in the next games, I am sure we can stay up."
Cardiff travel to Goodison Park to play Everton next Saturday in the Premier League.