Kenedy put Chelsea ahead after just 39 seconds at Carrow Road.
The 20-year-old Brazilian cut in from the left, dodged two challenges and fired into the far corner – his first Premier League goal.
Kenedy replaced the axed Baba Rahman at left-back, while Bertrand Traore was brought in by boss Guus Hiddink for his first league start for the Blues.
There were also recalls for Oscar and Nemanja Matic, with Willian and John Mikel Obi dropping to the substitutes’ bench, where they are joined by Alexandre Pato, who was included in the matchday squad for the first time since his loan move.
Chelsea, unbeaten in the league since Hiddink took over, have been well on top but were given a scare when Cameron Jerome headed over from Wes Hoolahan’s cross.
Subs: Begovic, Baba, Mikel, Loftus-Cheek, Willian, Pato, Remy.