Juan Mata's goal was all that separated the teams as Norwich slipped to a second defeat in four days.
Hughton said: "I thought we dealt with them for really big periods of the game, the chances they had I thought were fairly minimal, we restricted them.
"As the game opened up in the second half I think we broke very well and showed good energy and might have got a draw in the end."
But Hughton was unhappy with the wastefulness his players showed when they were in possession.
Mata's goal came after Norwich had gifted the ball to Chelsea and the Spaniard had missed a chance only minutes earlier after David Luiz had won possession from Wes Hoolahan.
"The area I was disappointed in during the first half was that, we have been good on the ball, but we were a little bit loose and it allowed them to have three or four good counter-attacks," said Hughton.
"We dealt with them eventually very well but it was a ball that was given away (that led to the goal), they broke very well and we got bodies around the ball but I think you have to admire the strike.
"That is why Chelsea pay the money they do for the attacking players they have and it was probably the one real bit of quality in the game that perhaps deserved a goal."
The defeat for the Canaries followed Saturday's 2-1 reverse at West Brom and leaves Hughton's side 11th in the table with champions Manchester City the visitors to Carrow Road at the weekend.
- Sports & Recreation