The Brazilian defender earned plaudits from Sarri following his first Premier League outing since February 5 as the Blues comfortably beat Huddersfield 3-0.
Injuries and a strained relationship with Antonio Conte looked to spell the end of his second stint at the club. But under the new regime the 31-year-old is back in the fold with a key role to play.
“I don't know about what happened in the past but now he has a good chance," said Sarri. “We only have to carry on like we are doing now with him."
The Italian insists Luiz can adapt to his favoured four-man backline.
“I disagree that he can only play as one of three central defenders," added the former Napoli coach.
“If you are a good defender, you can play in a line of three or in a four.
“David has a big future here. He will be useful for us but not just on the pitch. He is also very important in the dressing room. I very much enjoy his attitude when I am working with him."