How do I enable/disable push notifications for an app on iOS 7? Apps will often ask to enable push notifications the first time they are run. However how do I change this setting after answering this? There doesn't seem to be a single thing in Settings about Push Notifications. The closest I can find is "Notification Center", but this just appears to customize how notifications appear, not whether push notifications are enabled or disabled for the app. This is a really confusing UI.
There is an "include" and a "do not include" section in Notification Center.

Tap "edit" at top right corner of the Notification Center. This allows you to drag apps around in the Notification Center.

Hold the app you want to stop push notifications from, by the lines on the right hand side to its name, and drag it into "do not include" section. It will automatically close all banner settings for the app, and voila! You are good to go.