It comes after the 32-year-old said his goodbyes to his Gunners teammates at the club’s London Colney training ground on Saturday.
Ozil has travelled to Turkey ahead of a medical, with the formalities expected in the coming days.
Speaking to NTV, Ozil said: “I am so happy. I’m a Fenerbahce fan. God wanted me to play football in Fenerbahce. I’m proud.
“I am coming tonight with my family to Istanbul, thank God who gave me the opportunity to represent this club. I will wear the shirt with pride.”
He also changed his Twitter profile picture to a picture of his initials ‘MO’ in the colours of Fenerbahce – blue and yellow.
The 32-year-old has not played for the Gunners since March and his £350,000-a-week deal was set to expire at the end of the current season.
He is to take a significant pay cut in order to join Fenerbahce, and is likely to sign a three year deal worth £65,000-per-week.
But he will receive a hefty signing on bonus of an eyewatering £4.5m.
Ozil had been expected to leave in the January transfer window and would be able to sign for another club as a free agent should the final few details be ironed out smoothly.
Having started the first 10 games under Mikel Arteta following his appointment in December 2019, Ozil has not featured since a 1-0 win over West Ham before the coronavirus pandemic saw football grind to a halt.