The Italy international has played every game for the club this season and admits that he is trying to repay the faith that Ancelotti has shown in him since his move to the French capital from Pescara this summer.
Veratti said: "My aim is mainly to achieve everything that Carlo Ancelotti brings out of me.
"He gives me so much advice, even off the pitch. He is like a father to me.
"He is a really nice person who helps me a lot. I am grateful for the opportunity he gives me."
The 19-year-old is in the Italy squad for this week's World Cup qualifiers against Armenia and Denmark.