The defender completed his move to the Nerazzurri last week and is thrilled to be back at the club where he started his professional career
The defender, 27, previously wore the Inter jersey from 2003 until 2007 before joining Roma in search of regular first team action, but returned to the Nerazzurri on a free transfer last week.
"I'm really proud and happy to be back home. I grew up with Inter, I made my Champions League, Serie A and Coppa Italia debuts here," Andreolli told the official club website.
"We won the Coppa Italia with the Primavera and I scored against AC Milan in the final.
"I'll never forget how excited I was that day.
"I went mad when we won the 2007 Scudetto at Siena and I was lucky to be a part of so many other great achievements.
"Then I went to Roma, Sassuolo and Chievo and I'm grateful to everyone - coaches, team-mates and club officials alike - who's helped me improve as a player.
"Now I'm back here to take up from where I left off and give everything I've got for my Inter.
"I hope to relive the thrills I had here the first time."
Andreolli has signed a four-year deal with Inter.