The Spanish midfielder made just his second start of the season as the Blues came from two goals down to beat Leicester City 4-2 in the third round.
Fabregas was the hero for Chelsea with two goals in extra-time to send them through to the next stage of the league cup and although understated with his response, Conte appeared delighted for the 29-year-old.
"I am pleased for Cesc," said the Italian.
"He played a good game and he showed me in this period great attitude and commitment during the training sessions and when I call him during the game to come on.
"I'm satisfied when I see this behaviour.
"This is the right way. I want my players to create good competition in the team and game by game give me the opportunity to choose the best line-up."