Hello johnnyappleseed59,
Thank you for using Apple Support Communities.
I understand that your iPhone screen is stuck and flickering, and the touch screen is not responding. I rely on my iPhone daily, so I know how important it is that we get this issue resolved. I have a couple of things that I would like you to try.
First, use Restart your iPhone, iPad, or iPod touch and try to force restart your iPhone, specifically, this section:
You should force restart your iPhone, iPad, or iPod touch as a last resort, and only if it's not responding. To force restart your device, press and hold both the Sleep/Wake and Home buttons for at least ten seconds, until you see the Apple logo.

After that, I would closely monitor the situation and see if you continue to get the same flickering on your screen.
I would also recommend trying to make a current backup of your iPhone's important data. This article will help:
How to back up your iPhone, iPad, and iPod touch
Best Regards.