Always apply for unemployment benefits regardless of why you have separated from your employer and regardless of whether or not you believe you will qualify.
When anyone applies for benefits, an investigation is made of why that person is no longer working for the particular company listed as their most recent employer. Our tax dollars pay these people to do the investigation and to make a determination. Let them do their job. It's better to apply and get rejected than not to apply and miss out on receiving benefits. It costs nothing to apply.
There are reasons why people receive benefits even when they might normally not qualify. Sometimes employers mess up, and that can benefit the applicant. Even if you are fired, your employer may have failed to follow guidelines by the state unemployment office. I know of several people who received benefits because their employer failed to respond to requests for information and in another case, failed to follow the guidelines for terminating employees.
Just apply for the benefits and be patient. The worst thing that will happen is that you will be told you don't qualify. Never fail to apply for benefits whenever you leave a job temporarily or permanently, for any reason.