There is a zip command in linux. Not sure if it works the same as on Windoze, but it is there. 'tar' and 'gzip' are more commonly used on linux platforms. In fact, these two can be used together from a single command.
tar -cvzf new_archive_name.tgz /file/or/directory/to/include
that command will create a new compressed tar file. Of course you can use the two command separately if you want to.