FullControl is not allowed in apps on the SharePoint 2013 App Store.

When building an app for SharePoint App Store, the FullControl permission is not allowed. This was not easy to find and is very well “hidden” in the documentation on permissions. However building local deployed apps the FullControl permission is allowed.
To quote Microsoft: Only Read, Write, and Manage rights are allowed for Office Store apps. If you try to submit an app to the Office Store that requires FullControl rights, your app is blocked from submission.
http://msdn.microsoft.com/en-us/library/fp142383.aspx#Perm_rightlist