Neville is available after leaving his role as Valenica’s assistant manager at the end of last season.
Speaking last May, he said: “In terms of my next step, unless it’s something really special, I think I’d like to go on my own and do my own thing.
“I went out to Valencia to create my own pathway and to keep my individual learning going, and that’s where I see it really.
“Rather than going back in as an assistant or a first-team coach, even though there may be opportunities to do that, in my ideal world I’d like to be on my own and continue my development on my own.”
Villa are still without a manager as they seek to replace Roberto di Matteo who was sacked last week.
Steve Bruce remains the favourite for the post but Steve Clarke is up for contention and was interviewed by the club on Monday.
It’s expected Bruce will be formally interviewed in the coming week as the club look to name a manager before Saturday’s home game against Wolverhampton Wanderers.