Fenerbahçe scored first in the second minute through defender Egemen Korkmaz only for Zoua to equalize the score five minutes later.
Ismail Kartal's men, who won the league with a nine point difference last season under former head coach Ersun Yanal failed to defeat the lowest ranking team in the league.
Fenerbahçe are now second in the league with 67 points, three points behind Galaatasaray and two points ahead of third placed Besiktas who still have a match in hand.
FENERBAHÇE: Volkan, Gökhan, Alves, Egemen, Caner, Mehmet Topal, Selçuk, Diego, Kuyt, Webo, Sow
KAYSERİ ERCİYESSPOR: Gökhan, Anıl, Zoua, Vleminckx, Murat, Boye, Oğulcan, Yasin, Ethem, Mehmet, Sylla
