Dyer, 26, was signed by Martinez, who he credits with helping his career take off after leaving Southampton, and can already see signs Monk has learned from the Toffees' boss.
"Managers like Roberto and Brendan Rodgers have that man management skill which is key, it's massive for players," he said.
"There are always going to be players who are not playing and they need to believe they're still good players and it's about getting them to work for you.
"Roberto did that for me when I first came here. He made me feel that I was Cristiano Ronaldo, I was on cloud nine and worked as hard as possible.
"Garry is similar. I have played with him for so many years and he'll always say to me what my qualities are and that I should keep going.
"He made me believe in myself and I am sure he will do that for other players too.
"He has a lot of knowledge and has been club captain for a number of years. He's been involved in various promotions and he knows the game.
"His knowledge is great and he's good to work with."
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