The amount of notice can be important in a TWC case. In Texas we are under no obligation to accept the two week notice and it is still considered a resignation because they demonstrated intent to leave.Offering a 2-week notice in your resignation is "an offer". The etiquette is to follow the terms of your current signed employment contract. If your contract says 2 weeks, you give 2 weeks. If possible, aim to provide at least two weeks' notice of your resignation.