Massimiliano Allegri moved to quash rumours of a rift with AC Milan vice-president Adriano Galliani after masterminding a 3-1 victory at Bologna.
But having witnessed a classy hat-trick from
He told acmilan.com: "Galliani was happy today and I believe there is a misunderstanding of what has been said.
"What Galliani told me was no different from what he said 10 days ago, that we are still Milan but we are a young team that needs to improve quickly and find a bit of luck.
"Tonight we won and there are no problems between Galliani and I.
"It's a good squad that can improve. I am very happy for them, especially with the scepticism surrounding the club.
"We have to improve and we hope to do so as soon as possible. I thank the president for the players he has given me."
Galliani himself told the club's website: "I'm very happy for Pazzini, because a hat-trick is a big achievement on your full debut.
"Maybe we've found the new (Filippo) Inzaghi? I can see they have a few characteristics in common."
Pazzini added: "I really wanted to play well and score goals, which I did, and I'm happy we won.
"I need to improve physically but tonight was a confidence boost for someone like me who did not even play in any friendlies this summer.
"When I arrived I thought the group seemed a little unmotivated but we all have a great desire to do well."
The Rossoblu registered their only goal through
Liverpool forward Fabio Borini will not be moving to Serie A outfit Napoli, according to his agent.