You need to install the cups package it seems.

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.

once again thanks for the tip, now the chrome work.

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.

Here's mine for clarity: dbus hald firewall lighttpd bluetootd cupsd slim

I installed Chrome and Cups, as directed here.
But after I restarted the PC, Chrome and Emesene do not executed.

Then add cupd just before slim to your Run Daemon box under Control Box's Initialization tab. Chrome works while I have cupsd started.

Alternatively, you can start cupsd yourself from the terminal after you su to root, but it's better to make cupsd start at boot.

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.

Nope, Trixar_za said to add it to:
Menu > System Tools > Control Box > Initialization (tab) > Run Daemons (box) [click 'Change']

It's a background daemon rather than an application; it can be started manually:

# /etc/init.d/cupsd start

You could put in to autostart.sh:

subox /etc/init.d/cupsd start

but it's supposed to be on system start-up rather than log-in.

HIH.

Thanks!

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.