Sarri's side cemented their grip on fourth place in the Premier League thanks to the latest virtuoso display from Hazard. Although Hazard started the season playing in a wide role for Chelsea and won the Premier League's Player of the Month award for September.
But he has been moved to the central striker's role by Sarri as the Blues boss tries to find a solution to his team's lack of cutting edge. Both Alvaro Morata and Olivier Giroud have struggled for goals when leading the Chelsea attack this season.
And, while Hazard at times doesn't seem comfortable in his new role, he was still too hot for Brighton to handle, with an assist for Pedro's opener and a fine finish to double Chelsea's lead before half-time.
Only a crunching challenge by Brighton's Dale Stephens slowed Hazard down, but Sarri expects the midfielder to be fit to face Bournemouth in the League Cup quarter-finals on Wednesday.
Asked if will he continue in the false nine role, Sarri said: "I think that, for us, he could be very important in this position. He's very able to come out and play with his team-mates, very able to create spaces. Now I think that, in that position, he has to improve in attacking the box."
Brighton manager Chris Hughton admitted Hazard is already enough of a danger to most teams, regardless of where he lines up on the pitch.
"Very difficult to stop. He's a world-class player," Hughton said.
"When you have that kind of player, it's very difficult to get close to them. You have to do that as a team, and we got to grips with them better in the second half."