Can I receive unemployment compensation if a company changes name and I don't want to work for the company?

Make sure you have all the details of what is going on with your new company and check with your local Unemployment Office. Each state's requirements may vary some.

From the little you have explained, it appears the original company might have been bought out/sold/merged or reorganized into a new company. A simple name change does not normally require you to reapply for your position. If you are having to reapply, then it sounds like you essentially have been laid off or fired. We do not know why you don't want to work for the new company and they are offering you a chance to apply for your job again. I would ask your employer what would happen if the new company turns down your application.

Your Unemployment Office would be the best place to determine your eligibility for benefits.