I installed openSUSE 12.3 recently. Installing Chrome on it is pretty easy. Just two commands..
linux-gw6t:~ #
zypper addrepo http://dl.google.com/linux/chrome/rpm/stable/x86_64/ google-chrome-x86_64
After this command, you will see something like this..
Having done that,
linux-gw6t:~ # zypper install google-chrome-stable
Done!!!
To run Google Chrome as root,
linux-3y8t:~ # vim /usr/bin/google-chrome
Enter --user-data-dir in the last line like shown in the image below.
Source>>
I got these commands here: