The Liverpool Echo says Everton sources said they were furious at the late timing of the 29-year-old's request to leave, which meant David Moyes had no time for use some of the fee to sign a replacement.
He said: "We knew a few days before they had interest in me and then everything happened last day and last minute.
"It's true I met the manager and had five minutes with him and said it's a great opportunity for me to play in the Champions League and I think the club is in a situation where they need to sell someone.
"The gaffer was fine. He said to me 'Miky I don't want to lose you and appreciate everything you have done for me. I cannot stop you going'."