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. In this post, I discuss frequently asked questions about an employee or employer ending the employment relationship without notice or cause.Employees are encouraged to provide their supervisor with a minimum of two weeks' notice of their intention to separate from City employment. This letter informs your employee that you must depart right away without the standard two weeks' notice. Looking to resign with a Resignation Letter Without Notice? Use our resignation letter template for notice-period roles. Without notice, cause, or rights of appeal. A. An employee will notify his or her supervisor at least two weeks prior to the date he or she intends to separate from employment with the City. If you're moving out soon, it's important to send a notice to vacate letter. Find out when to send it and see a notice to vacate template.