What can immigrants do without canceling their household registration in China after naturalization in other countries?

Only when the relevant personnel use different passports before and after entry and exit will they be found out and asked to cancel their accounts.

Citizens who have obtained People's Republic of China (PRC) nationality will automatically lose China nationality when they join other nationalities. This is only a theoretical legal nature, but this objective nationality change cannot be immediately reflected in the nationality and household registration management inquiry system.

According to the Nationality Law and Passport Law of China, China does not recognize dual nationality. Former China citizens who have acquired foreign nationality should no longer hold China passports or reside permanently in China.