The 31-year-old was presented with offers by clubs such as Al-Ettifaq in Saudi Arabia to leave the Premier League.
However, Doucoure is enjoying himself at the Goodison Park club and does not want to leave anytime soon.
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He stated, per The Mirror: I do know that the special relationship I have with Everton will be forever and is something I'm very happy with."
Doucoure said: It was very frustrating because I've not had too many injuries.
This one hurt me and I lost six or seven games in the Premier League. So it was very difficult for me not playing and helping the team because I know my contribution and what I can do for the team.
I tried to rush back and unfortunately picked up another leg injury so it was difficult, particularly because we didn't win a game hopefully in the next couple of games I can show my quality and help the team."