The 41-year-old spent 19 seasons as a player in the Chelsea first team, making 717 appearances for the club and winning five Premier League titles, five FA Cups, three League Cups, one UEFA Champions League and one Europa League.
He left for Aston Villa in the summer of 2017 before becoming an assistant manager with the Midlands club after retiring.
Terry returned to Chelsea in January in a coaching consultancy role with the club's youth side.
“Yeah, that’s my dream," Terry told Stadium Astro when asked if his aim is to become the Blues boss.
“Obviously, when you’re a kid you want to play in the first team. As a coach, I’ve shifted this way now.
"The long-term ambition and goal is to be Chelsea manager, of course. That feels a little bit funny saying that because someone’s in the job and listen, we are still talking 10, 15 years down the line maybe.
“But I have to have an end goal and that’s it. It’s my dream. Hopefully, it happens. I’m on the process of doing that but a lot of things in between that have to go very well for me.
“So, I’m being very patient in the decisions I’m making in my next step in terms of management.
“But being back at Chelsea is very pleasing for me. It was quite emotional when I first drove in."