The host opened the scoring in the 37th minute when Andriy Boryachuk scored his third goal of the season.
With 16 minutes remaining in regular time, Zorya equalized through Sayyadmanesh. The Iranian forward overtook two defenders and put the ball past Rukh keeper Dmitry Matsapura.
With the result, Zorya climbed to sixth place in the league while Rukh sits in eighth place.
On Thursday, Zorya will make its debut in the group stage of the Conference League in a match against Norwegian Bude Glimt.