The 38 years old became a free agent after his contract with LA Galaxy expired.
Conte expects Ibrahimovic to make a big impact at Milan and lauded the personality of the man he tried to lure to Stamford Bridge.
“First of all, I want to say welcome back Ibra,” Conte told reporters ahead of Saturday’s Serie A clash with Atalanta.
“He is a great champion. I tried to get him when I was at Chelsea. I have a lot of respect for him, he has lots of personality after having a tough upbringing – he is a great player.
“I think he can give Milan a lot. His personality will help Milan, he will help the others grow. I think it is important for coaches to have players who lead the way, players who know what you want and lead the team.
“I think this is vital for a coach to have in a team. When a coach has those players then things are a lot easier.”