While Avram Grant has made noises to the contrary, Zokora, like the majority that witnessed Spurs end a nine-year barren run in terms of silverware, believes the North London club were full value for the win.
"We are delighted with the win, we were the better side," he told skysports.com.
"Chelsea came to defend and were very lucky to score first - they were never dangerous.
"(Paul) Robinson never made a save until my mate Drogba put the ball in the net."
Zokora admits it was a dream to tread on the hallowed Wembley turf, and he was relieved his performance did the occasion justice.
"I think it was one of my best performances for Spurs, I was glad because I was playing in the best stadium in the world.
"I have dreamed about Wembley all my life."
Rather than bask in the glory Zokora is keen to use the Carling Cup win as a platform for further success, urging his team-mates not to rest on collective laurels.
"I want to win another cup this season," he concluded.
"And to play in the Champions league next time.