England's U21 coach is among the candidates for the senior job after Gareth Southgate's departure last week.
Lewis told the Mirror: "He is a great coach, especially when it comes to managing men.
"What he says, every time I go with them (U21s), is that he wants playing exciting football, progressive football, where we score a lot of goals and defend very well as a unit. In a way it's similar to City: we want to have the ball and score as many goals as possible. This will be a big advantage if they go up among seniors.
"He's a very good person and knows a lot of the younger players. Like Gareth when he took over, he'll be someone who, if he comes up to the first team, will already be used to that environment. I think that will benefit him enormously in terms of knowledge of the players."