The Giallorossi have been drawn against the holders, CSKA Moscow and Viktoria Plzen, the Czech champions.
“I can't wait to play those games," Schick told reporters while on international duty with the Czech Republic.
“After the draw I got in touch with Jan Kopic from Viktoria Plzen, Roma have already played Plzen in the past so they know the team. It'll be an interesting match.
“Ronaldo has gone and I'm curious to see how they'll replace him. We're aiming for first place, that's our objective.
“We have shown that we can play against the best, also while scoring several goals, and that obviously gives us the confidence that we can beat Real Madrid."