He refused to rule out leaving Chelsea and returning to a club he feels indebted to after launching his career in Europe.
Ramires, 25, said: "If Cruzeiro are interested, it's possible for me to go back.
"Although it's not a decision I can make and difficult because my price is very high. If Cruzeiro could raise the money, I would go back for sure.
"I was happy at Cruzeiro and felt an obligation to return at some point as the club offered me a chance to launch my sport career in Europe.
"I still follow their matches on the internet. The fans were always good to me and named me 'Ramires the Warrior'.
"I still keep all the videos of when I played at the club and in difficult moments at Chelsea I watch them to increase my morale."