The 37-year-old former Chelsea defender left the club following Villa's agonising play-off final defeat to Fulham, which Terry admits still hurts.
"I loved my time at Aston Villa. I am still devastated that we didn't go up," he told the Mail.
"The manager, players and supporters were incredible with me but I hate losing and I feel there is unfinished business there.
"Steve Bruce is a great man and with the backing of the new owners, Steve will hopefully get the club back into the Premier League.
"Don't get me wrong, if I don't play again I am content with what has been an unbelievable career, but I'm still hungry to go and play if everything around it is right. If it's right for me and my family."
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