contact the developer or see the documentation and see the system requirement and the supported distros
ask then if you could try it first
sometimes developers would support only some distro most of them would LTS
tar.gz is archive could be anything inside it is not a installation format by itself
As @exception noted, “it depends” is really the only answer, and you’re going to have to read the installation instructions provided by the person distributing the software.
If they have specific OS requirements, then you may need to take a look at using a tool like distrobox (that will let you have, for example, a Ubuntu environment that has all the expected library names/packages and whatnot that might be called something else on Leap).
If you are spending $money$ for an application, the vendor offering the product should provide the details about the installation procedure.
As a side-note, tar.gz (i.e., a tarball) is nothing more than a “zip” type archive. Applications I’ve run the past, bundled in a tar.gz file … I simply un-archive it in my home “bin” sub-directory, then simply execute the startup script or executable.
The tar.gz type has been around a very long time (30+ years).