World Cup-winning striker Giroud laid on two goals for Hazard as the Belgium playmaker bagged a hat-trick in the Blues' 4-1 rout of Cardiff at Stamford Bridge on Saturday. "But Hazard can improve more".
Salah won the Golden Boot last season and Sarri is backing Hazard to dethrone the Egyptian this campaign.
But the Blues had to come back from a goal down to win this match as they maintain their ideal start of the season winning their first five games.
When measured against this benchmark, Hazard's average shot conversion rate of just under 18 percent is reasonable if not outstanding.
One complaint of the Belgian, who grew up idolising Zinedine Zidane, has always been that he never manages to score enough goals given his level of influence and talent.
Such numbers should be cause for excitement among Chelsea supporters, but there's also reason for caution.
"He (Sarri) is special", Giroud told Chelsea's official website.
The early signs are that the Italian has built the most formidable passing midfield of the Roman Abramovich era.
He has carried on his spectacular form of the previous campaign as he has already netted 4 goals in 5 league games so far this season. "A hat-trick comes with confidence, so I will try to do more of this". "We didn't. We tried to play good football and go forward and score a few goals", Bamba told BBC Sport.
Sarri also challenged the former Lille player to score more goals than he's ever scored before adding, "I think Hazard can improve more".
There is plenty of reason to think that Hazard is primed for the most prolific season of his Chelsea career. "We all have to help him to score goals and help him to continue like this".