Yes, we do support IMAP.
Check out the following Microsoft's KB for the guide on how to set IMAP in your Outlook:
E-mail Address box --> Your full email address
User Name box --> Your full email address
Password box --> Your mailbox's password
Incoming mail server box --> "mail.<your domain name>"
Outgoing mail server (SMTP) --> "mail.<your domain name>"
Settings & Configurations for Exchange Server (IMAP):
Server Type: IMAP
Incoming Server: exchange.automanage.net
Incoming Server Port (using SSL): 996
Outgoing Server: outlook.automanage.net
Outgoing Server Port (using SSL): 587 -- with TLS/SSL
Account name/User name: <Your full email address>
Password: Your Exchange account password