Why does my App Store Icon keep notifying me

Hi CherC2,

According to the screenshot you provided, you're in the right place.

All you have to do is toggle the green button next to "Badges."

Once you do that, the button will turn completely white, and the notification in the red circle should disappear.

Change notification settings on iPhone - Apple Support

Most notification settings can be customized for each app. You can turn app notifications on or off, have notifications play a sound, choose how and where you want app notifications to appear when your device is unlocked, and more.

1) Go to Settings  > Notifications.

2) Choose how you want notifications displayed on the Lock Screen:

*View just the number of notifications: Tap Count.

*View the notifications grouped into stacks by app: Tap Stack.

*View the notifications in a list: Tap List.

When notifications arrive, you can change the layout by pinching the notifications on the Lock Screen.

3) To schedule a notifications summary, tap Scheduled Summary, then turn on Scheduled Summary.

Select the apps you want notifications for in your summary, set a time for delivery of your summary, then tap  at the top left. (See schedule a notifications summary.)

4) To choose when you want notification previews to appear, tap Show Previews, select an option—Always, When Unlocked, or Never—then tap  at the top left.

Previews can include things like text (from Messages and Mail) and invitation details (from Calendar). You can override this setting for individual apps.

5) Tap an app below Notification Style, then turn Allow Notifications on or off.

If you turn on Allow Notifications, choose when you want the notifications delivered—immediately or in the scheduled notifications summary—and turn Time Sensitive Notifications on or off.

For many apps, you can also set a notification banner style and turn sounds and badges on or off.

6) Tap Notification Grouping, then choose how you want the notifications grouped:

*Automatic: The notifications from the app are grouped according to organizing criteria within the app, such as by topic or thread.

*By App: All the notifications from the app are grouped together.

*Off: Turn off grouping.

To turn off notifications selectively for apps, go to Settings > Notifications > Siri Suggestions, then turn off any app.

When you use Focus, it delays the delivery of notifications on iPhone to prevent interruptions. You can schedule a time to receive a summary of the notifications you missed. See Schedule a notification summary.

Please let us know the outcome after giving the above steps a try.

Thanks for using the Apple Support Communities.

Cheers!