The Germany international thinks the cleverer team won in Gelsenkirchen but remains optimistic about his side's chances of progressing to the knockout stages
The Bundesliga side were heavily beaten following a Fernando Torres double and a single Eden Hazard goal, but their 20-year-old midfielder believes things could have gone differently had Schalke been a bit more clever at the decisive moments.
"Perhaps we were a little naive. You can't afford to make individual errors against a team like Chelsea," Draxler told the official Uefa website.
"I think the cleverer team won tonight. 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."
Nevertheless, Draxler remains confident that Schalke will progress to the group stages.
"We're still up there and everything is still in our hands, which is good," he mused. "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 Bucharest and Basel] and I'm confident we'll go through."
Schalke sit second in Group E with six points from three games, with Chelsea leading the section with as many points.