This worked, so thank you very much

For Fedora 36 install libssl 1.1 by executing:
sudo dnf install openssl1.1

For RHEL 9 based distros (like CentOS Stream 9, Alma Linux 9, Rocky Linux 9) execute:
sudo dnf install compat-openssl11

To install libssl 1.1 on Ubuntu 22.04 follow these steps:

echo "deb http://security.ubuntu.com/ubuntu impish-security main" | sudo tee /etc/apt/sources.list.d/impish-security.list

sudo apt update

sudo apt install libssl1.1

This is a known issue of distributions using OpenSSL 3.x. It is caused by Qt being compiled 
against OpenSSL 1.x libraries. At least for Ubuntu this can be changed by installing the 
package libssl1 via a package search on the Ubuntu pages. The latest one known to me is the 
package from Ubuntu 21.10.

I'm using Ubuntu 22.04 and just installed Eric7 using the recommended way in it's own environment. Starting Eric shows the following error.
Die angefragte Datei konnte nicht von https://eric-ide.python-projects.org/plugins7/repository.xml gedownloaded werden.
Fehler: Die Initialisierung von TLS schlug fehl
After that eric7 start's and seems to be working