Running Drush on the server I want to run Drush on a OpenSuse Linux Version 12.1 box 32-bit machine.
I have a server admininistrator that takes care for the backend.

What do I need to ask him, in order to get Drush running on the server?
If you want to run Drush, you need ssh access to the server.  This means you need your sysadmin to make an account in the server for you.

To run the "pm-" commands, and a few others, this account will need to have both read and write access to the DOCROOT.  There are a few ways to do this; let your admin pick which is best for your setup.

You will also need PHP available from the command line, preferably with the same php.ini that the website uses.