This is from murthy.com
It is really very clear
- If an H-1 or L-1 holder decides to file for and obtain the EAD but keeps working for the same company, he/she is still in valid H-1 or L-1 status and able to extend the H-1 or L-1 as needed (up to the maximum allowable time on that status). The mere fact of obtaining the EAD does not affect one's status; only if the person uses the EAD to take on another job, would he/she no longer be considered to be maintaining H or L status.
_- If a person obtained an EAD and then went to work for another company while waiting for the completion of her/his adjustment case, that action would effectively terminate the H-1 or L-1 status of the beneficiary and she/he would have to file for advance parole to travel. The H-1 or L-1 holder wouldnot be able to renew the H-1 or L-1 status in this situation.
_- An H-1 or L-1 holder who entered the United States on advance parole can apply for an extension of H or L status, and the approval of that extension would enable the person to return to the U.S. on H-1 or L-1 status. (To maintain that status, the person cannot seek outside employment.)
_- An H-1 or L-1 holder who travels out of the United States, and returns on advance parole, is authorized to continue working for the H-1 or L-1 employer. He/she would not be required to obtain an EAD to work for this same employer, within the validity dates of the H-1 or L-1 petition approval._
_- If an H-1 or L-1 holder presents both advance parole documents and documents of valid H-1 or L-1 status at the port of entry to the U.S., the INS Inspector should tell the person that she/he is not required to present the advance parole, and admit the person to the U.S. on the H-1 or L-1 status.
_- An H-1 or L-1 holder who has entered the U.S. with an advance parole document may depart and return as an H-1 or L-1 holder if that status has not expired.
