The match took place at Slavutych Arena in Zaporizhia on Thursday, December 3, according to Ukrinform.
Zorya's Iranian forward Allahyar Sayyadmanesh scored the only goal in the 84th minute.
In another Group G match, Greece's AEK lost 2-4 to Portugal's Braga in Athens.
With one more game to play, Zorya lost any chances of advancing to the Europa League playoffs.
Leicester collected ten points, Braga – ten points, Zorya – six points, and AEK – three points.
Zorya will end their Europa League season on December 10 with an away match against Braga.
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