Alexis Sanchez struck both goals for the triumph on Thursday night.
“I don't think it was an ugly game, as we scored two goals and had many other chances to extend our lead," Conte told Sky Italia.
“Having said that, we know Parma always caused us problems, they have strong players and an excellent coach. They were trying to draw us out and then split us in two with knock-downs from Juraj Kucka.
“Parma deserve compliments and I think they have everything required to save themselves this season. I said that Genoa and Parma would be the test of our maturity, because we needed to sharpen our talons and show determination in every fixture, not just the big ones.
“We conceded an avoidable goal, but other than that, I don't think Samir Handanovic made many big saves."
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