Automating the quick navigation menu with Appium is possible for both iOS and Android devices. Apple introduced 3D Touch on their iPhone 6S (Plus) which provided a pressure-sensitive screen that would show a quick navigation menu when pressed harder, but this feature has since been replaced by Haptic Touch. However, the functionality remains similar. The key to automating this feature is using touch actions with Appium, specifically pressing and holding down on the screen for a certain amount of time before releasing it. This can be achieved by setting the pressure option to 1 for iOS devices or not specifying it for Android devices. The example code provided demonstrates how to automate this feature using WebdriverIO and Appium, targeting both iOS 12 and below (which support 3D Touch) and Android devices.