"I think the cleverer team won," Draxler told reporters. "That's no disservice to us – we matched them at times but in the end we were helpless to stop them.
"They had three chances and scored three goals. Perhaps we were a little naive. You can't afford to make individual errors against a team like Chelsea. We're still up there and everything is still in our hands, which is good.
"We'll have to see how we do at Chelsea. We've learned from tonight and we know we need to do better. Then we have the two other games [against Steaua Bucuresti and Basel] and I'm confident we'll go through."
Schalke host Borussia Dortmund in the Bundesliga on Saturday.