North Carolina does not require employees to give notice before resignation. However, providing a two-week notice period is considered a professional courtesy and can help ensure a smoother transition.
North Carolina is an at-will-employment state, which means that an employer may end the employment relationship at any time and for any reason as long as it is not an otherwise unlawful reason.
If you were fired because of a protected characteristic or you were fired for not responding to harassment or requiring reasonable accommodations for a disability, these are illegal and can be the basis for a wrongful termination suit.