Sarri is famed for his aggressive and attacking style of play from Napoli, and centre-back Rudiger - used in every minute of Chelsea's league campaign this term - sees comparisons with another Italian boss in Roma's Luciano Spalletti.
"It's nice to play under him. He expects a lot from everyone. He likes ball possession. He expects everyone to play and receive the ball," the German told Chelsea's official website. "His philosophy is always to control the game and be ahead of the game.
"This coach works similar to the coach I had in Rome, Luciano Spalletti. They are quite similar, a lot of tactics and tactics in the way of offensive defending. I like it.
"Off the pitch he likes to laugh. He is easy going. On the pitch he is very focused. I would say he is a perfectionist! For us it's important that so far we won all the games.
"We are improving. It's not easy with a new coach, everything new, we need to adapt very quickly, especially in England, but we are doing well."
Sarri could become the fourth Chelsea manager to win his first four matches in charge of the Blues when facing Bournemouth on Saturday, joining Jose Mourinho, Guus Hiddink and Carlo Ancelotti in achieving that feat.