Ozil jetted to Istanbul on Sunday after he was given permission to sign for the Super Lig club on a free transfer.
Fenerbahce uploaded pictures of the 32-year-old - draped in a club scarf - stepping off a private jet alongside the caption: "Our club is bringing Mesut Ozil to Istanbul to continue the transfer process."
Ozil also showed off a picture inside the plane alongside wife Amine Gulse and their daughter, Eda.
He told NTV: "I am very excited and happy.
"Tonight I will come to Istanbul with my family. The flight time is not clear. I'll be there tonight."