A specific employment-based immigrant preference category (EB-1(c)) was created for managers and executives who meet the L-1 standards and are interested in becoming lawful permanent residents (LPRs). These aliens are considered "priority workers" in the first preference, which is allotted 40,000 annual immigrant visas. Although L-1 status is not a prerequisite for immigrant benefits in this category, it provides a stronger case when the immigrant petitioner was in a L visa category previously. Many L-1A holders are able to smoothly transition into an EB-1C. A labor certification is not necessary for an EB-1(c) alien petitioner.
Of course, other channels for obtaining a green card, such as family based immigration, are also available to alien in L-1 status.
For more information on L visa, please refer to the following links: