I guess I don't really know what it would take for a foreign pilot to work in the USA, never had to go through the process myself. But I know there are a lot of them here. I have flown with pilots from Canada, UK, El Salvador, Argentina, Trinidad, Netherlands, Denmark, Sweden, France, Australia and several other places as well. So I know it is possible.
Anyway, the reason I asked was on the Australian jobs area of Tiger it says they are taking direct entry captains, but on the Singapore jobs it doesn't seem to specify if they have DEC positions available or not. I have never been to Australia but would love to have an excuse to go, and I did enjoy my time in Singapore, so either would be fine with me.