Yesterday Arsenal were drawn against Napoli with the winners facing Villarreal or Valencia in the semi-finals.
It means the two remaining English clubs cannot then meet each other until the final in Baku on May 29.
Cech, who served for 11 years at Stamford Bridge after signing from French club Rennes in 2004, has already announced his intention to hang up his gloves at the end of the season.
His regular Premier League place at Arsenal has been lost to Bernd Leno, but the 36-year-old remains Unai Emery’s automatic choice for the cup competitions.
Arsenal had to come from 3-1 down in the first leg to earn their place in the draw with a 3-0 win over Rennes on Thursday.
And with one former employer taken care of, Cech has no worries about potentially meeting another down the line.
Napoli are the “best of the rest” in Serie A behind runaway leaders Juventus, meaning Arsenal could not have been handed a tougher quarter-final draw.
“We knew before the draw we could face any team and I always say if you want to win any competition, you need to be ready to play any team,” Cech said.
“Whoever comes in our way, we would have to face them and find a way through. That’s just the way it is.
“I have already gone back to France and back to Rennes in this campaign, and Chelsea are always one of the teams who could get in the way. We will see.
“But I would love me to finish with a trophy!
“I am doing everything to make it happen and my team-mates are the same.
“The dream is still alive and obviously we are happy with that.
“We want to do it for ourselves, we want to do it for the team and as well for the fans.
“In the second leg against Rennes, we were in a difficult position and managed to find our way out. Hopefully we can continue like that.”
Despite Arsenal coming out of the hat second, this time the first leg of the quarter-finals will be at the Emirates on April 11, with the Gunners heading to Napoli a week later, because of a potential clash with Chelsea’s tie against Slavia Prague.