Voetbalzone says English media sources state the Gunners are watching the youngster.
It's been suggested they are planning a £20m bid for the January market.
"Orkun has everything a modern creative midfielder needs and with this the potential to become incredibly important here in the coming years," said former Feyenoord technical director Martin van Geel over the summer.
“Moreover, he is two-footed, which makes him even more complete. In addition to all his footballing qualities, he also has the right mentality to realise that potential. We're going to have a lot of fun with this."