Probably not. The concept of “at will employment ” applies to employers and employees- just as most employees can be fired at any time with no notice, most employees can quit at any time with no notice. However, many employment contracts contain notice requirements under which employees have to give two weeks’ notice, if not more.
Of course, it is important to maintain as good a relationship as possible with former employers, as burning bridges can come back to bite you. Employers can’t be sued for providing truthful information- good or bad- to prospective employers seeking a reference unless they act “with malice.” (This is called a qualified privilege.)
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