Unconventional anomalous Hall effect was observed in antiferromagnetic state of EuZn$_2$Sb$_2$. Scaling of unconventional Hall conductivity with the longitudinal conductivity, and the magnitude of Hall angle indicate spin chirality despite collinear magnetic structure. Anomalies in magnetoresistance culminate in the same fields, in which the unconventional anomalous Hall resistance has maxima. Monotonous decrease of their magnitude with increasing temperature belittles here the role of spin-fluctuations, important in isostructural compounds. These observations point to a prominent role of scalar spin chirality within domain walls, when magnetic field tilts the Eu moments. Simple calculation of such spin chirality shows it strongest in fields characteristic for anomalous magnetotransport.