Do you have several admins who are looking administering Zimbra and you are concerned about all of them having access to viewing mails. Stop! Just issue these commands and keep the Admin password with you and they should be able Administer without “View Mail” options.
Commands to stop view mails from Zimbra, GlobalAdmin has be disabled:
#zmprov ma email@example.com zimbraIsDelegatedAdminAccount TRUE zimbraAdminConsoleUIComponents
#zmprov grr global usr firstname.lastname@example.org +adminConsoleRights
#zmprov grr global usr email@example.com -adminLoginAs