You should integrate a feature to deploy the backup of Mailbox of Cpanel
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vote
Joshiua Nelson
shared this idea
Plesk already developed a feature that allows users to easily import mail data from other source servers including cPanel-based servers:
If you believe this option is not suitable enough, please kindly open a new request and provide more details on what are the advantages of "deploying mailboxes" over the Mail import feature. Thank you in advance!
-- SH