The Romania defender has terminated his contract with Inter by mutual consent.
"It's part of life," Chivu said to the Inter Channel. "A journey is coming to an end, but a new life begins.
"That's the way I am looking at it. There are a thousand things I could say and I don't have the words to describe what I have experienced over the last seven years.
"All I can say is thank you to everyone. I have been given so much thanks to the work of the group and the club.
"The staff and the medical team had a great desire to do something, to create history.
"I have had such brilliant moments that I will take with me in my heart wherever I go."