Resignation without notice at all - this can include walking off the job, job abandonment, and failure to return to work after a period of leave. Most employers ask employees to provide at least two weeks' notice of an intent to quit.The employer is required to accept your resignation, but doesn't have to accept the offer of 2-weeks. It's legal to quit without giving any notice, giving a standard 2 weeks is just a courtesy. Be direct and to the point and, in the first sentence, acknowledge the receipt of their letter of resignation and formally accept it. Please accept my sincerest apologies for being unable to provide you and the Davidson Team with a notification that includes a minimum two-week notice.