Defender Jerry Akaminko scored the opener for Eskisehirspor in their 3-0 demolishing of Mersin in the Turkish Cup on Wednesday.
The 24-year-old was on hand to give the visitors the lead in the 48th minute with a fine finish.
Striker Zengin increased the tally with a solo effort in the 59th minute before Demirhan scored the third 12th minutes from time.
The strong-centre back has found his goal scoring touch after he scored for Eskisehirspor in their 2-2 draw at Istanbul BB in the Turkish Super League last weekend.