Rodgers was also on Villa's list of leading contenders but is set to stay at Celtic, paving the way for Henry to be named as Steve Bruce's successor.
Terry was first made captain at Chelsea by Jose Mourinho in 2004.More news: Trump does victory lap after bitter Supreme Court battle
The former Chelsea "captain, leader, legend" has confirmed he will not play for a new club after failing to find a suitable move since leaving Aston Villa in June. However, he didn't play the match due to a suspension.
At one stage he was said to have been close to a move to Spartak Moscow, but he is said to have rejected that opportunity having held talks with the Russian side in September.
2006 - Shortly after the 2006 World Cup, Terry took over the England captain's armband from David Beckham.
But in 2011 he was accused of racially abusing Anton Ferdinand, the brother of Terry's England central defensive partner Rio Ferdinand, during a west London derby against Queens Park Rangers.More news: Why Arsenal’s 5-1 win is "deceitful", Lacazette
"What I do know is that Aston Villa have good enough players to be pushing for a Premier League return and it would be a hugely exciting time for their fans". Right from the outset they have given me total support, on and off the pitch, and I have a tremendous bond with them, he added.
"We achieved so many great memories together and I couldn't have succeeded without you".
'It changes slightly when you become a manager but you still have to have those attributes where you can push people on, drive, encourage, lay down the rules on how to perform to get the best out of yourself as a group.More news: Eden Hazard admits he is torn between Chelsea and Real Madrid