If you submit a two-week notice notice and they say no we don't need it you can leave now, can they say that you quit or that you got fired at unemployment? Pretty sure if it's not in your contract you can write a letter of resignation and say you aren't giving notice, it's effective immediately.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. 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. There is misnomer that prior notice is required to quit. This is called 2 weeks notice and it is not in law anywhere in the US. No advance notice of termination or resignation is required. It's time to quit the job, and you're not giving two weeks' notice. Here's how to politely write a resignation letter, effective immediately. No law or contract can make you stay at a job any longer than you wish to stay.