Você não precisa de uma permissão de reentrada; você pode precisar de uma carta de transporte. Ou você pode voar com o green card vencido.
Veja o link :
LPRs with Expired Green Cards
LPRs with expired Green Cards may not need to file Form I-131A. We encourage LPRs to check with their airline or vessel before determining whether to file Form I-131A.
Although regulations generally require an LPR to travel with a valid Green Card, CBP policy permits a transportation carrier bound for the United States to board an LPR without carrier documentation if:
They have an expired Green Card that was issued with a 10-year expiration date, or
They have an expired Green Card with a 2-year expiration date AND a Form I-797, Notice of Action, showing that they have filed a Form I-751 or Form I-829 to remove the conditions on their permanent resident status. The Notice of Action extends the validity of the card for a specified length of time, generally one year.
Se você precisar precisar de uma carta de transporte, a taxa de inscrição será de $ 575.