Liverpool mayor Wendy Waller said "strategically the Liverpool LGA makes sense" if Qantas decides to move their headquarters.
Qantas on Tuesday said it was reviewing the location of its key facilities which included the possible closure of its current head office in Sydney's Mascot.
Qantas Group chief financial officer Vanessa Hudson said they were looking right across the organisation for efficiencies, including their $40 million annual spend on leased office space.
"Most of our activities and facilities are anchored to the airports we fly to, but anything that can reasonably move without impacting our operations or customers is on the table as part of this review," she said.
"We'll also be making the new Western Sydney Airport part of our thinking, given the opportunity this greenfield project represents."
Ms Waller said they support Qantas' interest in relocating to Liverpool as the gateway city to Western Sydney International Airport.
"Qantas would be in great company. Western Sydney Airport - the organisation that is building and will operate the $5.3 billion international airport - is already in Liverpool's CBD, where they join the largest standalone hospital in Australia, the Ingham Institute, three universities and other members of the Liverpool Innovation Precinct," she said
"Also, we will be host to CSIRO's new campus and a new tertiary education and technical training hub that will support the skills our next generation of residents need for this important industry.
"We know that Qantas, like so many Australian businesses at the moment, is doing it tough. For the aviation industry and their valued employees, this is an incredibly challenging time.
"In the long-term, however, we are optimistic for this critical sector and the central role it will play in our nation's economic and social recovery."
Ms Waller said Liverpool Council is ready to talk to Qantas about a future in Sydney's third CBD.
"We've long known that the Western Sydney International Airport will be pivotal to our region's future success and Qantas' relocation to the Liverpool LGA will supercharge this opportunity," she said.
"Strategically the Liverpool LGA makes sense for Qantas in terms of its relationship with the new airport."