Globally Blocked Senders - copy to Admin

We are still using the Email appliance, but will soon of course be migrating to Central, so an answer in the context of both Email Appliance and Central capabilities would be appreciated. 

When I create a rule, I can specify that a copy of the quarantined message be sent to the admin's email address, which in this case is me.

If I add a domain or email address to the Blocked Senders list, it does get quarantined, but I don't receive a copy of the message, so I have to a search for quarantined messages in order to see those emails. Is it possible (both in the appliance and Central) to have a copy of all quarantined email sent to the admin's email address?

Thank You