The Barclays Premier League champions, aiming to finally win Europe's top club competition, have been drawn against Marseille, Spartak Moscow and Zilina in Group F.
"Zilina had to go through qualification and the fact they have made it into the group stages shows their quality," said Cech.
"Underestimating any team in the Champions League can only damage you.
"Matches against Zilina will certainly have a special atmosphere. Then we have Marseille, who are a traditional participant in the European cups, with a number of achievements too. And then there is Spartak Moscow.
"I think all the teams are playable. We don't have to do any crazy travels so we may be satisfied."