Good news is that there is an option to forward emails through your Zimbra email.
You can identify an email address to forward your messages and choose to retain the message in your mailbox or automatically delete the message when forwarded.
To forward your email
1. Open the Preferences tab and in the Overview pane select Mail. 2. In the Receiving Messages section and in When a message arrives, Forward a copy to, add the complete forwarding address. 3. If you want to automatically delete the email from your account, enable Don't keep a local copy of messages. 4. Click Save.