Applied at Chick-fil-A for Unknown

I've been on the job hunt for entry-level, part-time positions lately, and it feels like every hiring manager is on vacation. I've applied online and even called several stores directly to check on hiring status, but I keep getting redirected back to their websites. When I do manage to get an interview, it seems to fall through without any follow-up. For instance, I applied to Chick-fil-A and actually got an interview, but after multiple attempts to reach out via call and text, I keep hearing that the hiring manager isn't available. It's been over a month now, and I still haven't received any formal rejection. I've tried contacting various stores in my area, but those that do pick up either say they aren't hiring or that the hiring manager isn't there. I'm starting to wonder if I should directly email the hiring managers to make sure they know I'm interested in the positions. Would that even make a difference? Where are all the hiring managers?