It might depend on the facts of your situation and on the state where you file for unemployment. (I can't give a professional opinion, since I'm not a lawyer.) But please note that "a common reason for denial" of unemployment benefits is:
Being discharged for misconduct connected with work. Misconduct is an intentional or controllable act or failure to take action, which shows a deliberate disregard of the employer's interests.
U.S. Department of Labor - Unemployment Insurance - Benefit Denials
You might ask the state Workforce Agency whether that applies in your case. Perhaps you can argue that it doesn't apply.