How to write a resignation letter that's effective immediately? 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.Can I resign without a notice period? Can we resign immediately after joining? Due to unforeseen personal reasons, I am unable to provide any notice. A one (1) week notice letter is written notification provided to an employer that an employee will no longer be working with the company within seven (7) days. Resignation without a notice period short tenure. Create an Immediate Resignation Letter without a notice period using our free printable templates. Resign with a professionally designed document. The employee should make sure to include their name, current job position, a brief explanation of why they are resigning, and what date their last day will be.