Kompany said it would be a strong statement for City to get through to the Round of 16 before doing some damage in that stage of the competition.
"I think the biggest statement would be to qualify," he said.
"We have finally got the campaign going and we feel the Champions League is something we can achieve good things in, just like the league.
"It was a good performance, very professional. We can move on from this.
"It is a difficult group but we had two games to win against Villarreal and we did it.
"Napoli away now will be unbelievable and I hope we will have a lot of supporters to see us. It will be a great game."