Rudiger was selected in the defence by coach Joachim Loew, as the World Cup holders began the competition in Russia with a hard-fought win.
Germany led early through Lars Stindl, before being pegged back soon after. Further goals from Julian Draxler and Leon Goretzka either side of half-time made things comfortable for the Europeans, although Tomislav Juric's second goal for Australia ensured a somewhat nervy final 30 minutes.
Germany's next game is against Chile on Thursday.
See more photos from Rudiger's performance in the gallery below.
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