Can I block Chrome's notification with Mac's Do Not Disturb? I don't want to get notification while I'm working so I want to disable Chrome's all notification (Settings -> Show Advanced Settings -> Privacy -> Content Settings -> Do not allow any site to show notifications)  from Mac's Do Not Disturb mode?

Is it automize with Automator or something else?
Yes, I finally found a solution for this.

Change the following propery

chrome://flags/#enable-native-notifications


as ON. After that you can see all Chrome notification's from Mac's default notification center so it will work if you enable do not disturb mode from Mac's settings.