"First of all he's a great person, great as a human", Luiz told the official Chelsea magazine.
"It's been a good seven weeks with the family, which is the first time in 22 years". I wanted to stay fit in case something came along.
The Blues have won four out of four Premier League matches, seeing off Huddersfield, Arsenal, Newcastle and Bournemouth.
"Chelsea's a big club with the opportunity to fight every year for titles and there is also pressure to get results quickly".
Sarri added: "I think that at the moment Fabregas can be on the bench, but I want to speak to him, I think maybe it is better to have two days of training".
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"They are an ambitious club and I have been very impressed with their professionalism". I'm really very happy.
There is no consideration for Terry returning to Stamford Bridge as a player, with Sarri prioritising young talent like Wales global Ethan Ampadu.
"If there is a pitch and there are 11 players, I feel at home anywhere", Sarri said. 'Fortunately, we have very strong young players; (Ruben) Loftus-Cheek, (Callum) Hudson-Odoi, Ampadu, and I'd like to give them the right space.
Maurizio Sarri's Chelsea welcome newly-promoted Cardiff City to Stamford Bridge on Saturday in what Blues fans will anticipate to be a fifth win on the bounce in the Premier League.
Chelsea return to domestic action against Cardiff City on Saturday, and Sarri expects a tough game for his returning players.
"It's a hard game for everybody, against Cardiff", Sarri added. The gap was 30 points at the beginning of the season.