The Spanish side are reportedly around £500million in the red and could be forced to sell Villa and David Silva in the New Year.
Manchester United and Chelsea are both being linked with the 27-year-old and his team-mate.
“I have not closed the door on any club because I only have a short career and I want to enjoy my football,” Villa is quoted as saying in the Daily Star.
“I have had a lot of offers, but I would have to pick the best option, and that could be in the Premier League, which I have never ruled out.”