Looking at LibZip's CPAN Testers Matrix, there is a very low successful install rate for the module across all OS platforms. The combination of the fact that the latest release was in December 2014 and literally no bug reports submitted for the module makes it difficult to determine if the author is actively working on improving/fixing the module.

Aside from submitting a bug report, you may need to find an alternative module and I don't have a recommendation for an alternative.