Kenedy put Chelsea ahead after just 39 seconds at Carrow Road when he drilled in from 20 yards to net the fastest goal of the Premier League season so far.
Chelsea striker Diego Costa then doubled the visitors’ lead on the stroke of half-time.
Nathan Redmond puled one back for the home side in the 68th minute but the Canaries were unable to conjure an equaliser.
The result lifted Chelsea up into the top half of the Premier League table, leaving them in eighth place and eight points adrift of the top four.
Former Chelsea star Melchiot tweeted:
— Mario Melchiot (@MarioMelchiot) March 1, 2016
And Morris added:
Another 3 points for the #Chels
— Jody Morris (@morriskid) March 1, 2016
Chelsea will now turn their attentions towards their home clash with Stoke on Saturday, before their crunch Champions League last-16 tie with Paris Saint-Germain at Stamford Bridge.
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