This is simply impossible for a user-level app. For good reason - just imagine putting a malicious app on the market that cannot be removed!
The only way to do this would be with root privileges, like carriers do with pre-installed crapware that is stored on the read-only system partition of your phone.
It sounds like this is an internal app that you want to put on phones in your company (?). If that's the case, you will need to temporarily get root access and put the app on the system partition. There is no way to do this using the regular means available to a third-party app developer, and for good reason.
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…