The Blues secured first position in Group E with a 1-0 win over Steaua Bucuresti on Wednesday evening, but Schwarzer has revealed that they don't expect an easy draw in the last 16.
The 41-year-old told the Daily Star: "Any team that's involved in this stage of the competition is a good side. You can't underestimate anyone. But yes, we wanted to try to finish top of the group.
"It was reiterated by the manager before the Steaua game that we wanted to make sure that we finished top by winning the game, so we are in the right pot."
Chelsea will play either Bayer Leverkusen, Olympiacos, Zenit St Petersburg, AC Milan or Galatasaray in the knockout stages after Christmas.