The Quantas Airlines pet policy is as follows:
Pets are not accepted in the aircraft cabin.
Only service dogs can be carried into the passenger cabin of the aircraft.
From 19 Aug 2020, direct bookings via qantasfreight.com, email and phone for domestic pet travel have been suspended. Bookings can continue be made through one of our preferred pet travel specialists. Itineraries are limited to single sector bookings and trips with more than one sector will need to be booked separately. Accompanied pet travel is not available until further notice.
Taking a pet to a foreign country involves preparation and planning far in advance of your departure date. Requirements for pet travel to a foreign country are set by the destination country. If you are you traveling to another country and bringing along your pet you’ll need to meet the animal health requirements of the country you are visiting.
More information on the Quantas Airlines pet policy