Since there is no New York state law two weeks notice requirement, employers do not have to guarantee employment to their workers. Learn how to write a short notice resignation letter with this stepbystep guide, template and examples of formal resignation.Give a resignation letter stating you're resigning and your last date is whenever (at least 2 weeks). I was told I need to give the state one whole payperiod. Giving a two week notice isn't required; it is merely a professional courtesy. Bad for you more than employer. Once you give notice, a freedom comes over you. Use this resignation letter example to inform your employer that you need to resign immediately and will not be able to give two weeks' notice. Learn how to craft a professional resignation letter without notice with our guide. A twoweek notice period is standard, but not required.