This is an topic to aggregate information and search for some people interested to fix the issue with the chrome-gnome-shell extension in Flatpak Web Browsers. Tested with:
Issue: This message appears when acessing https://extensions.gnome.org/.
Get the Gnome Shell version, install, enable, disable, uninstall extensions and other features also doesn’t work
Although GNOME Shell integration extension is running, native host connector is not detected. Refer documentation for instructions about installing connector.
Some tickets were opened about this issue
There’s also no information about this issue in these links, so I ask for help to get in touch with the publishers to update: