The phrase "to zip the files" means to compress or reduce the size of multiple files into one single file, making it easier to store or share them.
Sentences with «to zip the files»
Select multiple documents in a search result and download a single zip file containing the selected documents in PDF format. (brochure.docketnavigator.com)
What you need to do now is create a new zip file with all of these in. (andrewhickey.info)