Qantas (QF) is a oneworld member based in Sydney (SYD) and is the flag carrier of Australia. Its network covers Australia comprehensively, plus long-haul routes to the US, Asia, and London. Premium award space on the US routes is some of the most fought-over in the world, so knowing where to look matters.

Because Qantas is in oneworld, you can book its award space with partner miles, including:
The easiest place to search is the British Airways website. BA displays oneworld partner availability, including Qantas, and you can search without holding any miles.
Log in to your Executive Club account on britishairways.com. If you don’t have an account yet, signing up is free and takes a couple of minutes.
Go to Executive Club, then Spending Avios.
Under Choose your Reward, click Book a reward flight.
Enter your trip details:
Then click Get Flights.
If you get a prompt about changes to reward flight fare prices, accept the terms and click Continue. If a pop-up asks about adding a stopover, choose No, I want to continue without stopovers.
Note down every Qantas flight showing award space: flight number, date, and cabin. Use the weekly date strip to scan nearby days. Qantas loads award space when schedules open about 353 days out, and premium seats to the US go within days of release.
Now book with the program your miles live in. If it’s Avios, you can finish the booking right there on ba.com. For other programs (AAdvantage, Mileage Plan, Asia Miles), check their website first, since most can book oneworld partners online now. If the flight doesn’t show, call the program and read the agent the exact flights you found. They should be able to see and book the same space for you.