Moyes said: "I have had a couple of opportunities to go back in and chosen not to do anything just now.
"I am going to try and look for what I feel is the right opportunity. I would like to think I proved myself over the 11-year period at Everton of what I am capable of and the level I want to manage at.
"I got my real first taste of the Champions League this year and I thought I showed I can manage at that level as well.
"I would like to look towards getting somewhere that would give me a chance of being in the Champions League or a club that has ambitions of being in the Champions League.
"I will use United as an important experience in my managerial career. I feel I needed more time, but I will use it and use it to benefit me and help me in the coming jobs."
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