The left-back signed from Atletico Madrid for a fee believed to be around £16 million and made his first start in the 1-1 draw againat Austrian side RZ Pellets on Wednesday.
The Brazilian was not selected for La Selecao's World Cup squad, which meant that his last competitive game was the punishing Champions League final defeat to fierce local rivals Real Madrid back on May 24.
Los Rojiblancos were beaten in extra time 4-1 as an arduous campaign ended in disappointing fashion, and speaking after his first run out in a Chelsea shirt, Luis admitted that he was far from his peak condition with less than a month before the Premier League season gets underway.
The Daily Star quotes him as saying: "I know I’m not in the best condition physically yet but with training that will come and I will be ready to start the season.
"It was really nice to play for the first time in a Chelsea shirt. It’s still very new for me in terms of tactics and relationships with my teammates, but my adaptation has been good.
The first half was quite easy because we had the ball and controlled the game, I didn’t really have any difficulties on my side of the pitch. We played against a good side, in the second half I was really tired but an hour was perfect for me."
Ashley Cole has left the club for Roma, but Jose Mourinho's preference for playing Cesar Azpilicueta on the left side of defence means Luis has real competition for his place at Stamford Bridge this term.
His adaptation to life in England is likely to be made easier by the fact that the Blues have also signed Diego Costa from Atletico, and both players were instrumental in the side's La Liga triumph last term.