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And just like that, I have to take my words back. Kali repositories released Kernel 5.6.0 today and Parallels Tools doesn't know what to do with...
Sorry- I should clarify. I meant re-installation of the Parallels Tools. Not the operating system, or Parallels Application itself. So basically...
I just wanted to report that a reinstallation of a fully updated Kali 2020.2 with a fully updated Parallels 15.1.4 completed successfully for me.
With an update to Parallels 15.1.4 Build 47270, no modifications seem to be needed, on kernel 5.5.13.
Installation of tools is working without any modifications now with update to Parallels 15.1.4 build 47270.