Open a terminal
sudo apt-get update
Download zimbra from below link
www.zimbra.com/downloads/zimbra-desktop/
Log in as root, or use sudo as shown below, and unpack the Zimbra Desktop .tgz file.
sudo tar xzvf zdesktop*
sudo ./install.pl
Welcome to Zimbra Desktop setup wizard. This will install Zimbra Desktop on your computer.
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Press enter to continue:
License Terms for this Zimbra Collaboration Server Software: http://www.zimbra.com/license/zimbra_public_eula_2.1.html
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(A)ccept or (D)ecline [A]: a
Choose the folder where you would like to install Zimbra Desktop’s application files [/opt/zimbra/zdesktop]:
As you run the Installation Script as root, but you probably want to use the Zimbra Desktop as your local user, answer N (default option) in this question
Would you like to continue to install data files for user: root ?
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(Y)es or (N)o [N]: n
To install data files for additional users, please login as the user and run this command:
/opt/zimbra/zdesktop/linux/user-install.pl
4.- Then as your regular user, launch the next command in the terminal
/opt/zimbra/zdesktop/linux/user-install.pl
This will install Zimbra Desktop for your local user.
Once Zimbra Desktop is installed, you can do double click in the icon located in the Desktop, then Zimbra Desktop will open and the Configuration Wizard will shows.