Hey, Adam1198.
Thanks for using Apple Support Communities. We're happy to help!
Be sure to follow each step in the following support article:
If iTunes can't contact the software update server for iPhone, iPad, or iPod - Apple Support
If those steps don't resolve the issue updating, please reply back with the following information:
-What does the display on your iPhone currently show?
-Are you trying to install iOS 14?
-Do you have any iTunes updates available in the Mac App Store? Update to the latest version of iTunes - Apple Support
-Are there any known outages in your area? Apple - Support - System Status
We look forward to hearing back. Take care.