If you lose your job or quit, you would get a 60-day "grace period" after the end of your employment to stay in the U.S. and remain in valid L-1 status. During

If you lose your job or quit, you would get a 60-day "grace period" after the end of your employment to stay in the U.S. and remain in valid L-1 status. During this 60-day period, you would need to do something, that is, get sponsored by another company (maybe for an O-1 visa) or file something yourself, such as an application to change your status to visitor status. Unfortunately, the L-1 isn't transferrable to another unrelated company.