Hazard now leads the goal-scoring charts with five goals.
The win pushed the Blues to the top of the table and extended their ideal start to the campaign to five matches.
Mitrovic drew a blank against Man City on Saturday, but since rejoining the Cottagers in the summer, the 23-year old Serbian worldwide has scored four Premier League goals in just five games - a haul that has got the attention of Chelsea as well as European suitors.
When pressed on whether Hazard agreed with him, Sarri said: "If you have seen Saturday's match, then I think so".
The Liverpool forward won the Golden Boot last season and Sarri is backing Hazard to dethrone the Egyptian this campaign.
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Giroud laid on the assists for the first two of his teammate's three goals on the day.
'I think so, ' Sarri said when asked if he thinks Hazard can score more than Salah, Harry Kane and Sergio Aguero. It took him 44 games to score the previous eight goals. 'I think we must improve but we can improve'.
"So I have to organise better the defensive phase and the players have to understand that".
Hazard praised Giroud's ability to hold the ball and link play, saying: "He is a target man and maybe the best in the world".
The Italian boss wants to turn Chelsea into the best team in England but says Liverpool and defending champions Manchester City will be the league's pacesetters. As a teenager, the Belgian had been a regular part of a good team, but upon turning 20 years of age he reached a level and has been on an nearly exclusively upward trajectory ever since.