Tested again with gnome-software 3.20.1~git20160331.78d1aab-0ubuntu2.
The "could not find" page did not show up this time, but just as
Alessandro reported I could neither launch Google Chrome nor remove the
package from gnome-software.
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I tried today, just updated Ubuntu 16.04, to install Chrome: everything
worked well and I didn't find the "could not find any google-chrome-
stable" message.
But, I was thinking to upload the screenshot of my google-chrome installation
(without error message), but neither "Launch" or "Remove" but