https://www.thebalancecareers.com/can-an-employer-say-you-were-fired-2059537
The fact of the matter is that, in most cases, employers aren't legally prohibited from telling another employer that you were terminated, laid off, or let go. They can even share the reasons that you lost your job. However, if an employer falsely states that you were fired or cites an incorrect reason for termination that is damaging to your reputation, then you could sue for defamation
另一个，fired 可能享受unemployment benefit，看情况
https://employment-law.freeadvice.com/employment-law/firing/receiving_insurance.htm
While many workers who are fired or laid off are eligible to receive unemployment benefits, there are some disqualifying factors that can render a person ineligible for receiving these payments. The exact circumstances in which unemployment payments will be approved or denied are set on a state level, not a national one, so there may be some differences depending on the location of the job loss. In most states, however, an employee will be disqualified from unemployment benefit eligibility if he or she is fired for misconduct, willful behavior, or other justifiable cause
