The 25-year-old attacking midfielder was understood to be the reason for Keown, a part-time Arsenal scout, making the trip to Eskisehir for the World Cup qualifier.
Ozyakup played youth football for Arsenal after being signed as a schoolboy from AZ.
But he left for Besiktas in 2012 for £500,000 having made just two first-team appearances for the club.
However, neither he or Barcelona star Arda Turan, who was also in the Turkey line-up amid reports he wants to quit the Nou Camp in the January transfer window, impressed.
Turan, 30, does not fit the profile of a typical Arsene Wenger signing but The Sun claimed over the weekend that he had put Arsenal on red alert by signalling his intentions to move.
Galatasaray are thought to be very interested in the ex-Atletico Madrid star.