He said: “The time was right to do this. The Manchester United chapter is over, and now I have a new one just beginning.
“I am happy that it is all done and I can look to the future. I have been doing that anyway. But it’s really nice to just get my head down and know that it is sorted, and we can keep going forward.
“It is a fantastic club. Obviously Manchester United is a wonderful club too. It just happened that the time was right to do this. I am delighted.”
He added: “Now we want to win every game – you do not always achieve that, but as long as I and the team and battling together then the fans will be happy.
“There were a lot of reasons that I wanted to come to Everton and get my future sorted out, and one of those was the players who are at Goodison Park.
“They have welcomed me so well, and I hope I can respond now with this new chapter in my life.”