You can uninstall or removes an installed apt-zip package itself from Ubuntu 14.04 LTS (Trusty Tahr) through the terminal,
$ sudo apt-get remove apt-zip
If you would like to remove apt-zip and it's dependent packages which are no longer needed from Ubuntu,
$ sudo apt-get remove --auto-remove apt-zip
If you use with purge options to apt-zip package all the configuration and dependent packages will be removed.
$ sudo apt-get purge apt-zip
If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.
$ sudo apt-get purge --auto-remove apt-zip