The Manchester City manager sprinted down the touchline at the final whistle to celebrate with the away section of supporters after Erling Haaland's controversial goal sealed a 1-0 win at Manchester United.
Speaking to BBC's Match of the Day, Maresca said the celebrations were simply a natural reaction to the occasion.
"It is the emotion of the derby after winning with 10 men," Maresca said. "It is always nice to win with 10 men but a derby is a special game for everybody. I was happy and I think it was a normal reaction."
City were reduced to ten men in the first half when Phil Foden was shown a red card, forcing a change of approach for the remainder of the match.
"After the red card the plan changed completely. The spirit, effort, togetherness of the players has been fantastic," Maresca said. "I think it was a red card for Phil Foden to be honest, but also in the same action for Manchester United's Bruno Fernandes, not just for us.
"We didn't concede any transitions or space behind. It's a special game for everyone; the fans, the club and the manager, but this is not the moment when I'm thinking about myself. I'm thinking about the team and an unbelievable three points."
Asked about the controversy surrounding Haaland's winner, which was initially disallowed for offside before being awarded following a VAR review, Maresca offered a brief but firm view.
"I think it was onside clearly so it's good," Maresca said.
Speaking later on Matchday Live, the Italian reflected further on what victory in his first Manchester derby as head coach meant to him.
"The noise from the fans was fantastic. At the end it was emotion for the game with 10 players," he said. "The derby is always special for fans, the staff, the players and everyone.
"Overall, it was a good performance. With 11 v 11, we had a gameplan that with the red card completely changed. I think it was more difficult for us but also them. With 10 players, we didn't concede any transitions or space in behind and that's something they love."