

Are browser notifications turned on in the session Go to My Settings. > Notifications doesn't do a thing either. Select Screen Recording and check the Google Chrome check box.

Unfortunately, going to about:flags doesn't allow disabling of the desktop notification center (since it's managed in the main Chrome settings area now), and explicitly excluding all plugins inside Chrome's settings > Show advanced settings. And when users point out that Chrome should use the system's built in notifications system (like every other mainstream app nowadays), Google says no, we'll use our confusing menubar icon instead.

Google seems to think that every Chrome user on a Mac wants this non-UI-conforming precious-menu-bar-real-estate-consuming icon sucking up resources and precious space, without any way of disabling it. Nor does the standard trick of holding down the command key and dragging the icon off the menu bar. I know I can disable individual (or all) extensions from this Chrome Notification Center, but that doesn't make the icon go away. I have Notification Center (built into Mac OS X), and if I wanted to see spammy notifications from Chrome extensions, I would enable them there.
TURN OFF GOOGLE CHROME BROWSER FOR MAC NOTIFICATIONS MAC OS X
Today, I received a mysterious notification from one of my Chrome extensions that popped up under a generic alarm bell icon in my Mac OS X menu bar: This will open the notification settings page on Google Chrome browser. Now after you have right clicked on the notification, click on Go to Chrome notification settings. Update (7/20/14): You can finally disable the notifications icon by selecting "Hide Notifications Icon" from the Chrome menu: But since we want to totally turn off notifications from Google Chrome, we shall do it just ones for all sites which you have allowed notifications from.
