Unfortunately, if you are living in the apartment because you are the apartment manager (and not a regular tenant), then you do not have the same rights as a tenant. The supervisor does not need to go through an unlawful detainer lawsuit. In other words, unless you have a written employment contract which provides otherwise, you will need to move out and you will need to look for new employment.
However, if you don't move out within the seven days, the landlord would still have to file an unlawful detainer lawsuit. That process typically takes at least 30 days, if it's of any benefit to you.
Frank W. Chen has been licensed to practice law in California since 1988. The information presented here is general in nature and is not intended, nor should be construed, as legal advice for a particular case. This Avvo.com posting does not create any attorney-client relationship with the author. For specific advice about your particular situation, please consult with your own attorney.