I installed it now and it complained about not being able to find libcups.so.2 which is part of cups. Installing Cups made Chrome run without any further problems.
Before I forget, you need to add cupsd to ControlBox's Initialization tab's Run Daemon box. Add it just before slim. This will make sure that cups is always started at boot, which will keep chrome from breaking again.
I added cupsd to /home/tux/.config/openbox/autostart.sh This is the right place? Because I have not found the slim there. And even running cupsd manually, Chrome do not work.
I made an attempt to reinstall Chrome. It worked. But after I restart the computer do not work anymore.
But I believe I have found another problem. I use an external HD slitaz and for some reason, the files of Chrome do not are saved in root.gz, in the process of saving the modifications.
In the package manager > google-chrome-unstable package > View Files, I see that all files have "File Lost!", finding only the last four files.