It's this sort of thing that has me re-thinking the fairness of employees giving employers the customary (in the United States) two week notice before leaving.
Employees don't get two weeks notice before being fired without cause.
It's supposed to be because replacing an employee is so difficult for the company. Well, it's a hell of a lot more difficult for an employee to lose a job than it is for a company to lose a worker.
If I'm employer "at will" then my employer should also be retained "at will." If they want to negotiate another arrangement, that's fine.