Lille ace Eden Hazard scored the only goal of the game five minutes from time.
“In European competitions winning 1-0 is always a good result,” said Garcia.
“But Liverpool still managed to create some opportunities and we had a goalkeeper who made two or three really great saves.
“I think we deserved to win tonight. I am satisfied with what we showed and we will do everything we can to qualify.
“To beat Liverpool, who were the favourites when the draw was made, is good.
“But we will need to score in the second leg, we can’t go there and play for a 0-0.”