WP2Static should work on any web server setup, see System Requirements for the least you should consider.
I’m developing deployment and utility scripts for an optimized WordPress server for WP2Static testing on a $5/month Vultr VPS with OpenBSD -current as the operating system. I’ll soon start sharing here the code I use for anyone who wants to replicate or borrow parts from. It’s not a very mainstream setup, but I find OpenBSD to be the best fit for me.
If you’re needing help on specific local or remote WordPress setups, the best place to ask is on our Forum, where another user or I can help.