You are in parolee status. If you continue working for the same H-1B or L-1 employer, you are still allowed to work under H-1B and L-1 and apply for an extension or transfer of H-1B or L-1 status. However, if, after being paroled by using and advanced parole document, you can work for your current employer with your EAD or change employers with your EAD, you will no longer have a valid H-1B or L-1 non-immigrant status, even though you can still lawfully stay in the U.S. during the I-485 pending period.