Terry impressed for the Blues in the win at Stamford Bridge on Sunday, where Didier Drogba scored both goals.
“John is the perfect captain for Chelsea,” said Ancelotti.
“My captain has a fantastic attitude. He is doing very well in every game.
“It is very important for the team to have this leadership. He was always in control of the game. He has a strong mentality.
“He is working for his club and we are happy to have this performance from him in this moment.
“The England captaincy was not my decision and I do not want to judge about this decision. I knew John met Capello but I did not meet with (Terry) afterwards.”
“We scored an unbelievable second goal,” Ancelotti continued.
“It was fantastic movement, fantastic passing and a fantastic shot from Didier. This is football.
“Didier did very well and he is in a good moment. He came back from the African Nations Cup with fantastic motivation and continues to have very good performances.”
“We did some fantastic defensive work,” added Ancelotti.
“We tried to score more but we worked together for 90 minutes. Sometimes you have to defend.
“We were winning 2-0 and it was important to defend. The defenders, midfielders and strikers did a fantastic job.
“Petr Cech was in control for 90 minutes. Arsenal produced some fantastic attacking play so it was not easy. Maybe they had more possession than us but this is not football. Football is attack, defence and results also. We deserved to win.”
