Stop Apple Watch from ringing
How to stop my Apple Watch from ringing so my Apple phone will ring.
Apple Watch Series 5
How to stop my Apple Watch from ringing so my Apple phone will ring.
Apple Watch Series 5
Are you trying to have your iPhone ring when you receive a call? That shouldn't be affected by the audio settings on your Apple Watch. See Select ringtones and vibrations on iPhone - Apple Support.
Either way, here's how to mute your Apple Watch:

To silence an alert or notification as it sounds, rest your palm on the display for at least three seconds or until you feel a tap. If it doesn't work, make sure that the Cover to Mute setting is on: On your iPhone, open the Apple Watch app, go to the My Watch tab, then tap Sounds & Haptics.
With watchOS 9.4, wake-up alarms are not silenced with the cover to mute gesture to avoid accidental cancellations during sleep.
Stop Apple Watch from ringing