Hi @mariora ,
You can set up your hybrid environment to send and receive emails from Zimbra. To do this, you must set up an email contact in Exchange Online with the primary SMTP for domail.local, and you must also set up domail.local in the Hybrid Configuration Wizard.
The link below can help you with more details. In the link the reference to domain.local is an Application Server. Think of it as your Zimbra.
https://practical365.com/mail-contact-object-affecting-outgoing-smtp-relay/
(If the reply was helpful please don't forget to upvote and/or accept as answer, thank you)
Regards,
Kllin Nunes