The site in Banksia is located in Sydney's south, less than 10 minutes away from Sydney airport.
On Tuesday, FFA lodged a formal enquiry with the local council who own the location, as reported by The Sydney Morning Herald.
"We received the letter this afternoon from James Johnson, FFA chief executive," Bayside mayor Joe Awada said.
"We will go through what’s been offered and what the benefits are to the local community. I am happy to talk to Football Federation Australia and keep them in mind but at this stage, it is very early to say."
FFA also intend to use the site for community programs and multicultural events when it's not occupied by one of the national teams.
Should Australia and New Zealand's joint Women's World Cup bid be successful on Friday morning (AEST), the plan is for the 'home of football' to be ready for the 2023 tournament.
Many European countries, including England, France, Italy and Spain have similar facilities for their national teams.