Can I go back to the United States after getting a green card with political asylum status?

Try not to go back to China with a green card.

Try it!

If you have to go back, you can apply for a re-entry permit and try it first.

The reason should be sufficient.

Asylum green card, leaving the United States and returning home safely again and again will usually automatically prove that the environment you need asylum does not exist and your home country has made you very safe. When you enter the country, the customs officer can take back your green card for this reason.