Goals from Zlatan Ibrahimovic and Jeremy Menez propelled the French side into second place in Group A, three points clear of Dynamo Kiev, and Ancelotti is pleased with their European standing.
Speaking to reporters after the game, the 53-year-old said: "We are very satisfied. We had a good attitude, we controlled the game. It was not amazing but it was a good match."
"We could have scored more but this is a good result and a good performance. Ibra scored an important goal but it is true that he was less accurate than usual in front of goal.
"Our position in the group is good. There are three matches remaining and we hope to reach nine points before playing against Kiev and Porto. It would give us a very good possibility [of qualifying]."
Brazilian defender Alex was substituted at half-time but Ancelotti insists that his withdrawal was precautionary.
"Alex had knee pain, nothing too serious but he could not continue. This is why Camara entered. We did not want to take any chances. I think he will be available against Nancy."
France holding-midfielder Blaise Matuidi was impressed with how his side dealt with a difficult atmosphere to seal a vital three points.
"We started well in this game by setting the intensity in a strange atmosphere. All that mattered was to stay focused on our game. The goal now is to beat Zagreb at home," he explained.
The two sides meet again on Tuesday November 6 at Parc des Princes.