The former Manchester United and Everton defender, who is currently working as a pundit, is said to be the FA's favoured choice to take over from sacked Mark Sampson.
England Woman have been on the lookout for a new boss since Sampson's departure, coming in the wake of allegations that the Welshman had a six-month relationship with one of his players at Bristol Academy.
Sky Sports News reports that talks are planned with Neville, who has coached at Valencia, Man United and the England men's senior side since retiring in 2013.
Speaking on Thursday evening, the 40-year-old said: "Management is something I do want to do, whether it's today, whether it's tomorrow or whether it's in six months or six years.
"It's something that I will have to do. I've had two great experience as assistant managers at United and at Valencia, but now is the time where, for me, I want to be a manager and not a number two or an assistant.
"I want to cut my cloth and I've just got to wait for the right opportunity, really. I'm dead relaxed about it because I'm in the media and I'm loving every minute of it. I work for a lot of TV stations, I still live in Spain and my life is pretty good."
England return to action on March 1 with a meeting against France in the SheBelieves Cup.