Backup and restore emails in cPanel webmail – Horde
You can use one of the following links to access cPanel webmail: http://yourdomain.com/webmail
Download - single email
Select the email which you want to backup.
Click “Other Options” then choose “Save”.
Emails will be downloaded as .eml* file.
Download - whole folder
Right click “Inbox” or any folder and select “Export”.
Select the format of the backup file – MBOX or zipped MBOX.
Right click Inbox or any folder which you want to import the emails in and choose “Import”.
Select the .eml or MBOX file and click “OK”.