The Terriers came in for Terry in 2000 when he was breaking through the ranks at Stamford Bridge, while City made a famous approach for the defender in 2009.
The Aston Villa assistant coach told an Instagram Q&A with snooker icon Stephen Hendry: "During my time one of only two clubs that approached me were Huddersfield when I first came through.
Terry added: "Then obviously the Man City one, Man City approached Chelsea, made an offer official.
"Simple as this, I sat with the owner, face-to-face and said 'I never want to leave Chelsea, that's a fact. If you want to sell me then it's a different story. But I'm telling you off the bat that I never want to leave this football club'.
"Within that, I was due a new contract, we shook hands on a new contract, agreed a deal and I stayed another five, six years after that. '
"Them two clubs were the only two that come in for me."