I have extracted the .zip files to my downloads folder but can’t find any way to install the app to my Thinkpad laptop.
You should be able to change the extracted “balena-etcher” file to an executable and then run that. I’m not familiar with Zorin, but in many disros you can right click on the file and select “properties” then on a permissions tab check “allow executing file as a program” or something similar. (Or in the terminal in that folder enter chmod +x balena-etcher then run it with ./balena-etcher)