The 31-year-old is the most successful captain in the Blues' history and is fifth in the club's all-time appearance list.
Terry has been with Chelsea since the age of 14 and, aside from a brief loan stint at Nottingham Forest, has played for the west Londoners his entire career.
"For me, you don't see (one-club players) in this day and age," he told Chelsea TV.
"You see a couple of the Man United lads and Stevie G (Steven Gerrard) at Liverpool, but other than that you couldn't count five people on your hand.
"It is a rare breed and I am really proud to have spent my whole career here.
"I have been fortunate enough to start at a very young age and to see different managers come in, big managers, and for me to keep improving.
"One because I have wanted to and secondly because I see this as my club and always will.
"When I finish playing I want to come back to Stamford Bridge and bring my kids to watch games and things like that.
"For me, I am really proud to be at one club and no other club.
"I could never see myself in another shirt anyway."
While the Barking-born defender does not foresee a move away from Stamford Bridge, he is already looking to the future and a career in management.
Terry has previously revealed his ambition to manage Chelsea but intimated that he may hone his skills elsewhere.
"I have learnt over the years from managers I've had and I have worked out [training] sessions from the last seven or eight years," he said.
"I have got stacks and stacks at home. It is just a case of putting it into my way.
"Dennis [Wise] said about having your own people within and it is so important if you are a manager that you are controlling everything.
"It is all or nothing for me and if I don't get the chance to take the reins on everything, that would probably make my mind up whether I do take a job if I get the opportunity."
Those ambitions may well be affected by the outcome of his upcoming court case on a charge of racially abusing QPR defender Anton Ferdinand.
That said, Terry believes he has what it takes to be a manager and highlighted the need to strike a balance on how to utilise the ever-increasing amounts of data.
"Naturally as a player you want to take it [the information] on board and learn as much as you can," he added.
"If you are a manager you have to absorb as much as you can and you have to be careful not to give the players too much information otherwise you can confuse some players.
"Not everyone is the same. I sit in team meetings for 20 or 30 minutes and sit there focused whereas some players can sit there for 10 or 15 minutes and you lose them after that."