The current distribution package for Linux consists of a .zip archive that unpacks to produce a hierarchy of files as follows:
ZereneStacker top level directory ZereneStacker.bsh launch script ZereneStacker.jar jar containing the application JREextensions directory containing numerous .jar files jre directory containing a Sun Java Runtime Environment for Linux (32-bit or 64-bit as appropriate)
The launch script ZereneStacker.bsh is written so that the package will run no matter where it is placed. You can launch it from the desktop or a file browser by double-clicking it and confirming either “Run” or “Run in Terminal”. Alternatively, you can execute it from a Terminal window as ZereneStacker/ZereneStacker.bsh (plus whatever path prefix is required to find the ZereneStacker directory).
For your convenience in using the package later, you may also want to create a “launcher” icon that will provide launch by double-click without the confirming dialog. The procedure for doing that depends on what version of Linux and what desktop manager you're using. Some helpful guidance is provided HERE at askubuntu.com.