Garde's men progressed to the last eight of the competition with a 5-3 aggregate win over Viktoria Plzen, despite losing the second leg 2-1 in the Czech Republic.
However, Lyon have been handed the dubious reward of a clash with Juve, who are considered to be among the favourites to win the tournament after eliminating Serie A rivals Fiorentina 2-1 on aggregate in the last 16.
"We have drawn one of the favourites of the competition, one of the best teams in Europe with a strong history," Garde said.
"It is a very difficult draw, but also an event for Lyon to be able to compete with a big team at the end of the season.
"We will have nothing to lose, we will be the outsiders, we must take things positively."
Garde added: "We have a two-legged quarter-final against Juventus and a Coupe de la Ligue final. It is difficult but it is the essence of top-level sport.
"I think a lot of players in my team have not experienced this. This is an important moment to live."
