The 29-year-old Spaniard, making his second start in all competitions this season, struck twice in the space of two minutes as Chelsea rallied from two goals down to beat 10-man Leicester 4-2.
"I'm focusing on playing well and when I have the chance I'll show what I can do, because I know what I can do and it's a lot for this team," Fabregas told British media.
Conte, who last week said Fabregas needed to improve defensively to earn a first-team place, praised the midfielder's tactical awareness after the game.
"Cesc is an intelligent player, a clever player and he sees the game, he feels the situation. I'm pleased for him, because in the games when he didn't start in the line-up he always had a great attitude," Conte said.
Chelsea, who are fifth in the league standings with 10 points from the opening five games, make the short trip across London to face Arsenal on Saturday.
(Reporting by Ian Rodricks in Bengaluru; Editing by John O'Brien)
