CA employment law, employee's right to apply for unemployment insurance

Can I apply for unemployment Insurance?: I claimed unemployment Insurance for about five months. Then I found a new job, but I got attitude from a coworker four time in two weeks of working. When I reported to the supervisor, he said "That's how she is. If you can't work here fine". By saying this, I understand he let me go. Then I claimed unemployment Insurance again. However, I was told I quit the job. I called the supervisor and asked him why he let me go and told EDD I quit. He said to me " you can ask EDD to call me again". Now, Can I still apply for unemployment Insurance?