How can I archive old contacts out of My Contacts?

On an Android (6.0), how can I archive old Google contacts where they do not show up in my contacts but they are listed in either: - the google contacts website under *other contacts* - archived in another app/cloud storage securely. Ideally moving them from the archive to my contacts list would be doable from a mobile app, or the archive service would have a mobile website where they are accessible. To clarify: I don't want to delete them forever or be inaccessible on mobile.