Permanently deleting app history on Apple App Store can be accomplished in a few easy steps. First, locate the App Store app on your iPhone or iPad's home screen and open it. Within the App Store, tap on your profile icon to access your account information. From there, select "Purchased" and find the app that you want to delete from your history. Swipe left on the app and tap "Delete" to remove it from your history permanently. Keep in mind that this will not delete the app from your device; it simply removes it from your account's history. Additionally, you may need to sign out of your account and sign back in for the changes to take effect.