I immigrated to the public security bureau last year and told me to cancel my account, but I didn't go. Is there any information about my current domestic household registration?

When you say immigration, do you mean acquiring the nationality of other countries? If there is no cancellation, the household registration information will definitely be saved for you.

If you only obtain permanent residency abroad, you still have China nationality and your household registration has been in China.

China does not recognize dual citizenship. If you take another nationality, that's another matter.