"Carlo and I have a plan to go and have dinner soon," said Zola, who played under Ancelotti at Parma.
"Roberto is a little bit more distant but we will try to meet and discuss about our experiences. I think it will be good.
"I want to be very, very good. It's as simple as that. I want to give to this club everything I have got inside and make sure it's valuable for the players and the supporters - that's my responsibility.
"Mancini has a tough job. He has a good team but he has a lot of pressure and it is a job that will test him very much. He has the experience to manage a top team so I am very curious to see how he is going to handle it.
"My job is hard in a different way. We have a different objective.
"I am sure this job will make me better. It has been tasty and it seems that it doesn't stop being tasty but I've got patience and I've got enthusiasm to get to the end of it."