Luiz scored the second goal of the game to win a 2-0 victory over N Goo Kante's opener.
And Luiz says he was delighted after he inspired the Blues only for their second victory in the last five Premier League matches.
"It was a great game," the Brazilian said.
"I think we are currently playing against the best team in Europe.
"They have great players and play very well.
"We had to suffer, but then we took the chance to do it.
"It was good, our plan, we had bad results, but we were trying to improve.
"The whole team has done great, we're still fighting but keeping our feet on the ground."
The city dominated the early exchanges, but was hit by strikes when Kante showed the guests half-time.
The French midfielder was given Eden Hazard pass before he ran into the net.
The murdering city was paid to pay once more when Luiz drove to the corner of Hazard just around the corner to find a distant corner 12 minutes away.
"They're a very good team," Kante said.
"We were together and then we did not give up and got two goals. We are happy with the win.
"The most important thing is to make the best of the pitch, and I'm glad I took part in the schedule."