Can people with Australian status go back to China to apply for identity cards?

If you have an Australian passport, that is, you have become an Australian citizen, you can't apply for a personal identity card in China, because the Chinese identity card is a personal identity document issued by the state to China citizens. If you only get an Australian permanent resident, that is, an Australian green card, but still hold a China passport and retain China nationality, you can apply for a personal ID card in China.