The 31-year-old defender, speaking while on international duty with Portugal, is ready to contemplate a fresh start.
"First they have to reach an agreement with the club and then talk to me, but I am available for whoever wants me the most," Carvalho said. "It has been the worst year of my life, with injury after injury."
He added: "I want to be where I feel good. It's obvious that it's hard now to respond to these questions because I had four fantastic years at Chelsea and this last year hasn't been good at all."
Carvalho has made more than 100 appearances for Chelsea since following Jose Mourinho from Porto in 2004, but played only 18 times this past season.