To write a short notice resignation letter, include your position and effective date, explain your reason and express gratitude. Learn how to write a short notice resignation letter with samples.Find a solution to the challenge of resigning on short notice. I wish to inform you that your resignation has been accepted. All of the following forms must be completed and returned to the Retirement Office for your application to be processed. Application Forms (must be completed). Can't give two weeks' notice? Here's how to write a short-notice resignation letter with examples and a template included.