The former West Brom man, who missed much of last season with a shoulder injury, was put up for sale at the end of June.
Villa paid the Baggies £11million for the 25-year-old two years ago although they are now willing to accept considerably less.
Davies still has two years remaining on his Villa contract and one more appearance will trigger a clause that forces the club to renegotiate his deal.
The Londoner is not worried at being on the transfer list and is simply focusing on being fully fit to fight for his place in Martin O'Neill's starting XI.
"The biggest thing for me is getting back into the team," he explained. "I am going to roll my sleeves up and see what happens.
"Obviously the manager will make his decisions, but I will see, keep my head down and hope things work out. I have never been scared of competition.
"I have done a lot of hard work and a lot of running throughout the holidays.
"Now I have come back for pre-season one of the fittest here and I am determined to make it work.
"If I play well, I can give the manager a massive headache - and that is what I want to do."