I was running 11.5.3 on High Sierra and was told to update. When I installed the update, MacOS told me it would not run on my system. I had to revert to the older version.
This has been reported in other threads, including this one: Don't upgrade to Fusion 11.5.5 if you are running High Sierra.
Yes, Fusion 11.5.3 supports macOS High Sierra and can be downloaded from here.