如果“没办法在本州领救济”，那么说明你被开除的原因是misconduct而不是performance

Unemployment Insurance: Employee is Fired

Employees who were fired can claim unemployment compensation benefits if they were terminated for reasons other than their own misconduct. For example, if an employee was terminated because the company was experiencing financial difficulty and had to reduce the size of the workforce, then that employee is entitled to unemployment compensation. A fired employee may also be eligible for unemployment benefits if the employer had good cause to terminate him or her, but the infractions were minor or the misconduct was unintentional. In other words, not all actions that result in termination are serious enough to qualify as misconduct so as to result in a denial of unemployment compensation benefits.

- See more at: http://employment.findlaw.com/losing-a-job/unemployment-insurance-overview.html#sthash.6v2Bl59y.dpuf

不知道你的HR怎么对你说的，反正如果领不到unemployment insurance，被开的原因应该比较严重。