Los Angeles county is currently not issuing permits to applicants. The burden of showing you have good cause is as follows:
GOOD CAUSE: The policy LAPD has adopted is that good cause exists if there is convincing evidence of a clear and present danger to life or of great bodily injury to the applicant, his (or her) spouse, or dependent child, which cannot be adequately dealt with by existing law enforcement resources, and which danger cannot be reasonably avoided by alternative measures, and which danger would be significantly mitigated by the applicant’s carrying of a concealed firearm.
From that you can imagine it would be difficult to get them to issue the permit. If you do think you may qualify you must take a qualifying course. They require you take a class that is between four and sixteen hours and covers basic firearm safety and firearm related law.
100 West 1st Street
Los Angeles, CA 90012