The 29-year-old was released by the Villans in the summer of 2012, but he was soon brought back following the arrival of current manager Paul Lambert, who then made him the club's first choice stopper ahead of Shay Given.
However, he has no intention of leaving Villa Park, where he is enjoying life under Lambert.
"Aston Villa, they've stuck by me, especially the manager," said Guzan.
"He's given me a chance to play consistent football in Europe. It's always nice when you're linked with other teams, but for me, I'm very happy at Aston Villa.
"It's a club that I think is definitely on the rise, and it's something I want to be a part of."
Guzan has made seven Premier League appearances this season, keeping two clean sheets and conceding eight goals.