Is there a simple way to install Percona Server 8.0 on Ubuntu 19.04/19.10 ?

Hello @Stalinko
We don’t support Ubuntu stable versions so there are no percona-release or percona-server packages available.
So the only options to you are:

  1. use binary tarballs
  2. compile https://www.percona.com/doc/percona-server/LATEST/installation.html#compile-from-source
If you have specific errors/questions about the compile from source, do come back with them, since it’s possible that someone in the community will be able to help you. As we don’t officially support these versions of Ubuntu, it’s not likely that our engineering team will be able to spend time on this request, but someone out there may be able to help. 
You probably realize but ubuntu 19.10 will be EOL in July and 19.04 is already EOL