You want to give at least a two weeks' notice. The law in North Carolina is at will.You can quit or be fired at any time for any or no reason, no notice is mandated. What happens if I resign without notice? In this article, we cover everything you need to know about writing a resignation letter without notice and provide an example to get you started. Unless there is a contract you signed to the contrary you don't need to give any notice. Voluntary Resignation without Notice. How to Use Two Weeks Notice Letter? You want to give at least a two weeks' notice. In almost any employment contract, companies will state that you will be legally required to give a notice period of at least two weeks if you decide to resign.