I think the calendar is supported according to the Zimbra Evolution COnnector description:
Quote:
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Zimbra Connector for Evolution allows two-way, online/offline synchronization of email/addressbook/calendar data. Email is handled through the standard IMAP protocol. AddressBook and Calendar data are handled through Zimbra's SOAP APIs. After installing the plugins and extensions, users can select accounts of type "Zimbra Collaboration Suite", and their emails/contacts/appointments will show up in Evolution
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Good luck