Your employer can file a PERM labor certification application, followed by an I-140 petition and I-485 adjustment of status application.

If you're an L-1A visa holder in a managerial capacity, your employer can sponsor you for an EB-1C green card, which doesn't require PERM certification.

You can also explore changing your status to a green card through family sponsorship or other employment-based categories, such as EB-2 or EB-3, with a new employer sponsor.

To transition from an L-1 visa to a green card, you can apply for a green card through employer sponsorship under the EB-1C (for multinational managers/executives) or EB-2/EB-3 categories.