Hello giammaria293.
Thank you for using Apple Support Communities. It sounds like you're experiencing connection issues when using your Apple TV with your PC, specifically with iTunes. If this is the case, we'd like to look into this issue with you.
Does the issue only occur while connected to this specific internet connection or does it also occur with other internet connections? If you have any pending updates available for your Window PC, we recommend that you install those and also make sure iTunes is fully updated as well:
Update to the latest version of iTunes
Additionally, if your Apple TV hasn't been updated, please update that as well. Restarting your Apple TV is another great troubleshooting step you can try. Just in case, the resources below can help:
How to update your Apple TV
How to turn off or restart your Apple TV
If you continue to experience issues, please reach out to Apple Support for assistance. You can reach them by using the link below:
Get Support
Thank you for using Apple Support Communities.