Swiss midfielder Christian Schneuwly opened the scoring for Luzern in the 28th minute of the game.
On the hour mark, Ghanaian forward Raphael Dwamena levelled the scoreline for the hosts with a stunning strike to save his side's blushes.
He was substituted by Stephen Odey in the 84th minute of the game.
Dwamena has netted 11 goals in his 23 appearances for FC Zurich in all competition this season.
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