I'm going to be honest, this is not my area of expertise, but no one seems to have responded, so I'll see if I can help you in any way. If you have the Java Development Kit (JDK) you should be able to use the pure java version (
Download). From what google tells me, it seems there are some
third party softwares that allow you to get it. Unfortunately, there does not seem to be a dedicated release of greenfoot for Arch. Sorry.