You want to give at least a two weeks' 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.Learn how to write an immediate resignation letter with our comprehensive guide, including tips, examples, and a customizable template. If you were fired, don't sign a resignation letter. If you live in an at-will state, there is no requirement to give any notice for leaving or for your termination. You should be prepared to leave at any time. There's no question that you CAN walk out tomorrow without giving notice at all, let alone 120days notice. Can I resign without a notice period? Can we resign immediately after joining? Be gracious and positive, even if it borders on lying.