In 1912 he chose to run for the Wisconsin State Senate's 6th District seat, losing by a 97-vote margin to Democrat George Weissleder.
Zumach was elected to the Senate for the 6th District (6th, 7th, 9th and 10th wards of the City of Milwaukee) in 1916 to succeed Democrat George Weissleder (who was not a candidate for re-election), receiving 4,147 votes to 4,006 for Republican Charles Meising, 1,744 for Democrat Charles Jungmann, and 73 for Prohibitionist Henry W. Schmidt.
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In 1912, with his Senate district had been redistricted out of existence (it had been split between new Fifth and Sixth districts, which were taken by Republican George Weigel and Democrat George Weissleder respectively), he was again the Socialist nominee for the Fourth Congressional District, coming in second again to William Joseph Cary.