How to disable the function of getting APP's notification sent to ZenWatch?

You can block notifications by either phone or ZenWach.

By phone
1. Open "Android Wear" app on your phone and tap "Settings".
   

2. Tap "Block app notifications".
   


3. Tap "+" to add apps to block list.
   


4. Select apps that you do not want to see notifications on your ZenWatch
   
.

5. Now notifications from these apps you select will not be sent to your ZenWatch.
   



By ZenWatch
1. ZenWatch home page when getting a notification from the phone
   


2. (notification)
       


3. Slide the screen from right to left to execute "Remind me later".
   


4. Slide the screen again to execute "Open on phone".
   


5. Slide again to execute "Block app".
   


For more information about "Manage notifications on Android Wear", please see below.
https://support.google.com/androidwear/answer/6056843?hl=en