Sukhoi SU-37 Before you start looking for a job in Australia, what is your Australian residence or citizenship status? It is highly unlikely any Australian airline would to sponsor your visa in a flight despatcher role if you are not already a Citizen or Permanent Resident.
If you are not an Australian Citizen or Australian Permanent Resident you need to research your Visa options as a self sponsored immigrant. Australian work Visas can be difficult to obtain without professional qualifications in an Australian "Skills in Demand" and the right age bracket.
Australian Department of Home Affairs - Immigration and Citizenship:
https://immi.homeaffairs.gov.au/visa...a/visa-listing