com.google.android.feedback (Market Feedback Agent) is a Google app that allows other apps to call it and ask you to provide market feedback. Most likely this is what you meant, as there is no Google Feedback app on the P6. You cannot delete it since the system partition is read-only and cannot be made writeable. You probably cannot can disable it in Settings > Apps but will need or use an app like Titanium Backup or SDMaid (Pro I think) to freeze it.
I will freeze mine and run a test, editing this post after to post the result.
EDIT: Freezing the Market Feedback Agent makes no difference. Something tells me that this behavior, along with the inability to modify notifications in the phone app, is baked into the app itself.