Perhaps if you advised the make and model of the computer you have and the ports it has, it would help responders here to reply.
If you have a usb port:-
i) a usb to parallel convertor cable is available. (use google for details)
However you might try searching here for further details, as I seem to recall some users found they did not work for them.
ii) perhaps a better (and cheaper) solution is forget the zip drive and purchase a thumb drive. These are now relatively inexpensive with quite a large capacity.
Please advise back what you decide.
Good Luck - Keep us posted.