Luiz, who made 10 league starts under Conte last season, has started all six of Chelsea's league games under Sarri.
Chelsea levelled the contest through Emerson Palmieri's close range finish which needed intervention from the video assistant referee (VAR) to check for offside before being awarded.
Sarri and Jürgen Klopp will field different teams in Saturday's Premier League reunion at Stamford Bridge yet Barkley believes the cup win can have an impact.
Hazard told Sky Sports when asked if the goal would make his top five: "I don't know, I need to watch it again, but for sure it's on top of the list also because it's Liverpool".
"At the minute, he's probably the best player in the world, the way he is playing", he said. He is a genius I think, he is unique.
However, this is not the end as coming Saturday will present Liverpool the opportunity to balance the books with Chelsea when the two English giants lock horn in a Premier League fixture.
Speaking in an interview with Chelsea FC's website, Barkley said of Hazard: "He is up there with the best in the world".
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"[Manchester] City, Liverpool, they have a lot of good players and good teams so we will give everything".
"More continuity from the physical point of view, from the mental point of view".
That contributed to a slow start at Chelsea and cost Barkley his England place ahead of the World Cup but the 24-year-old is confident that, with more game time under Sarri, his global prospects will improve along with his form.
Hazard's slaloming solo slinker would ultimately win the game for Chelsea, who move into the next round.
"We have a good group and the only thing we can do is put out the best goalkeeper for Liverpool".
According to Neil Jones, Klopp says the exchange between himself and his wide man was simply because he wanted him to play in Mo Salah with a free-kick Liverpool had in the last second of the game. "I don't know, generally it's far from now so we will see".
While Moses ended up playing all 90 minutes of the match, it was Belgian wonder, Eden Hazard who got off Chelsea's bench to strike the crucial victor at Merseyside.
"It will be intense", said Klopp. Maybe the Premier League, maybe the Champions League.