The 46-year-old, who led Italy to the quarter-finals of Euro 2008, has been unemployed since parting ways with Napoli in October.
Donadoni's representative in England Charles Collymore said the Italian has already applied for the job, saying he would like to work at the Premier League.
"Roberto is a great student of the English game and he is very interested in the job at Aston Villa," Collymore told skysports.com.
"He knows Villa are a top club with an ambitious owner and he feels he could be a success there.
"Roberto has worked at the highest level and he has always dreamed of coaching in England.
"Roberto has the experience and talent to help develop the best young English talent and also the knowledge to help find the best foreign talent available."