It's not you, it's Zuma's Revenge. Some applications have to be updated for newer versions of Mac before they can be used again. It's the case of Zuma Revenge as well. I don't think your Mac has any issues. However, Zuma's Revenge appears to be available through the Origin platform developed by the EA Games.
Access the following page to download and install the Origin client on your PC, log in with a username and password that you can create as well and then install Zuma. It might be possible that their version supports High Sierra.