leo, linguee, dict.cc, wikipedia (change language), google translate...can't seem to find anything
this is what I mean
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I think the most suitable word would be "Rohrreinigungsstange". (drain cleaning rod)
I found several products using that name. This for example: http://www.ebay.de/itm/Silverline-12-x-Abflussreiniger-Rohrreinigungsstangen-Rohrreinigung-u-o-Zubehoer-/350993775332
I personally never heard of a drain rod in Germany. Never saw one in a tool shop either. We use other things. Like the Rohrreinigungsspirale which is a long flexible shaft with a crank at its end. Nowadays we mainly use tools that utilize pressured water.
in Germany you usually find these Tools