Meireles insists its not a step down.
"I am excited and very happy to wear the shirt of Fenerbahce," said Meireles.
"I am a player who prefers talking on the pitch, but going from the Premier League to the Turkish League was an easy decision.
"I played with Dirk in Liverpool and, first of all, he is a friend. He already told me that Istanbul is a fantastic citadel.
"I do not lose ambition with my departure from the Premier League. I had fantastic years in England and a great final season at Chelsea, winning the Champions League.
"Now I want to have the same success in the Fenerbahce and win trophies."