Terry played with Grealish at Villa Park last season.
"Jack will be a big, big player," he told the Daily Mail. "I hope Villa can come up and he gets his chance in the Premier League that way. I can see why Spurs wanted him.
"Right now he's in the right place. I think he will become a top Premier League star and an England international.
"He reminds me of Gazza, with his balance and his skill, the way he receives the ball and drives at defenders. He is looking after himself off the pitch as well. He's a great lad.
"He eats the right way and got the chef on board at the training ground. He was cooking for Jack there as well as sending him home with the right food.
"That will serve him well. He's an ambitious boy who will go right to the top if he continues doing the right thing."