You can work with attachments/evidence using the Xray REST API as described on the link REST API - Test Run REST .
With it, you should be able to add your zip files to the issue.
For further questions or issues please review our REST API documentation https://docs.getxray.app/display/XRAY/REST+API
Sérgio Freire, Solution Architect and Testing Advocate @Xray
Personal blog on testing, Agile and software development: https://sergiofreire.com
Follow me on Twitter: https://twitter.com/darktelecom
I also recommend you to have a look at the open-source Postman collections that showcase concrete examples of interacting with the REST API :)
You just need to import them to Postman and check them out
More info at: https://github.com/Xray-App/xray-postman-collections
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