Villa are yet to name Martin O'Neill's successor with Kevin MacDonald currently occupying the role on a caretaker basis.
Various names have been linked with the job and Koeman has thrown his hat into the ring.
"Yes, of course I am interested to listen to everybody. The Premier League is a very strong competition and I'm interested in that, yes," he said.
"There was a contact with my agent but nothing more than that, about one week ago or something.
"Until now I didn't know anything about that. If they are interested they can call me."
Asked whether his lack of experience in England could be a factor, the Dutchman told Five Live Sport: "If they think they are looking for a manager with Premier League experience then of course I cannot come, because I have not worked in England before.
"I have enough experience but not in English football.
"I think I would do a good job, I think I have enough experience in the last 10 years after working in Holland, where I was league champion, and working in Portugal, Spain...in that case my experience is enough."