One of the Zimbra .debs should provide the "mail transport agent" virtual package, so that mailx can be installed.
It should also update the alternatives for mta to point to the postfix version of sendmail, so that mail can be sent from the local system (for things like cron jobs, error reporting, etc.). Here's the command:
update-alternatives --install /usr/sbin/sendmail mta /opt/zimbra/postfix/sbin/sendmail 25 --slave /usr/sbin/mailq mta-mailq /opt/zimbra/postfix/sbin/mailq --slave /usr/bin/newaliases mta-newaliases /opt/zimbra/postfix/sbin/newaliases