find apple-watch

If Find My was enabled on your Watch before you lost it you should be able to track it's last known location before it ran out of battery using the Find My app on your iPhone or other Apple device.

See If your Apple Watch is lost or stolen – Apple Support for steps on locating your lost device.

Best of luck!

Hello Vik

If your Apple Watch is lost or stolen - Apple Support

If the watch battery is fully discharged, then the Apple Watch can only be found by physically looking for it.