Hi jbfrost,
We understand that you're currently unable to remove apps from your iPhone, and we'd like to help. To clarify, are you not seeing the option to remove the app at all when you press and hold on it? The article below shows how we would normally expect the function to work:
How to delete apps on your iPhone, iPad, and iPod touch
If you aren't seeing any option to remove the app, it's possible that restrictions or a profile have been enabled on the iPhone to prevent apps from being removed. Here's how to determine if restrictions have been enabled:
Use parental controls on your child's iPhone, iPad, and iPod touch
Have a great day!