Is it legal for a company to discharge a person immediately after receiving two weeks notice of resignation? An employee who wishes to resign in good standing shall give the appointing authority, in writing, at least 2 weeks notice of resignation.Unfortunately, when an employee submits a 2 week notice, it is basically an offer to continue to work for the convenience of the employer. Give them a written notices. State you are resigning your position as (?) with the company. 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. I am writing to inform you that I will be resigning from my current position, X at X, effective immediately. Please accept this letter as formal notice. An express resignation is not necessary when the conduct of the claimant is tantamount to voluntary resignation. While a standard two-week notice might not be feasible, strive to give as much notice as possible.