Minor leaving and re-entering the US on a green card with a foreign parent

According to the CBP, a minor traveling without their parents should have a notarized letter showing parental consent, on top of the usual documentation (i.e., passport / green card).

However, I cannot find any information when the other two special clauses are present:

What if the child is a green card holder. Does this change anything to the process?
What if the accompanying adult is not a US citizen? The accompanying adult (their grand-parent) will be on a ESTA when re-entering the country. Does this calls for additional documentation?

My child would be traveling outside of the US with this grand-parent, and returning with them.

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Can green card holders parents enter US?

You can petition to bring family members to the United States (often called "sponsoring" them) only if you are a U.S. citizen or a permanent resident (green card holder).

What happens if I stay more than 6 months outside US with green card?

If you are abroad for 6 months or more per year, you risk \u201cabandoning\u201d your green card. This is especially true after multiple prolonged absences or after a prior warning by a CBP officer at the airport. 3.

Can I bring my daughter to us with green card?

Can a Green Card Holder Sponsor a Child Over 21? A lawful permanent resident may petition to bring their children to the United States, depending upon their age and martial status. Adult children over 21 years of age and unmarried may also be petitioned to come to the United States.

Can you leave the US and come back with a green card?

If you are a lawful permanent resident (green card holder), you may leave the United States multiple times and reenter, if you do not intend to stay outside the United States for 1 year or more.

How to Prove You Did Not Abandon Your Green Card: Green Card Overseas Over One Year Episode 1

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Monstera, Yan Krukov, Tatiana Syrikova, Monstera