I am a L2 visa holder, can my employer apply or sponsor me for a greencard.

1. a. Sure but not as an L-2 visa holder they have to sponsor you for their own green card and you have to independently qualify for a green card in your own capacity. Simply having an L-2 does not give you this independent qualification per se. b. No, but there has to be a basis for you to qualify for a green card, i.e. you have a bachelors or masters degree etc to qualify for a certain job which then allows them to file a PERM application and later an I-140 and I-485. You don't have to apply for an H-1B first but you can. 2. a. Whether blanket or not, all L-1A or L-1B visas are tied to the same sponsoring company, and you cannot move to a different company unless there is an umbilical cord between the companies, whether parent-subsidiary, holding, etc. If you get a green card you can include him as a derivative dependent and he will get the green card at the same time as you. Prior to getting the GC, you both get an EAD usually 90 days after applying for the GC. b. He will also have a GC as your derivative dependent if you apply for him. Its best to maintain his L-1A with his employer until his dependent GC is approved when yours is approved. Then he is no longer tied to the L-1A employer since he now has his own independent GC through you and is an LPR-Legal Permanent Resident.