A goalless draw at home to Copenhagen was sufficient after Nicolas Anelka's brace had earned them a 2-0 first-leg lead.
And Cech said: 'We are in a good position, we did well and we are in the quarter-finals.
Job done: Cech (2nd right) kept Copenhagen out at Stamford Bridge
'Let's see the draw but we are confident, we have got a lot of experience. We don't mind (who we draw) - if you want to win the Champions League, you need to beat any opponent at any stage.
'We overcame a difficult period in our season and that made us strong for the Champions League.
'We're happy that we are through, what we were missing was goals - we created enough chances but we didn't take them.
'We needed to be careful at the back, any goal would have given them belief. The job was done, we kept a clean sheet, the only thing missing was converting our chances.'
Satisfied: Blues boss Ancelotti was happy with the display against the Danes
That in turn raised further questions over the Blues' attacking combination, with January signing Fernando Torres benched and Didier Drogba and Anelka failing to find the net.
But manager Carlo Ancelotti maintained: 'They are all fantastic players, we have a fantastic squad. We didn't need to score because we won 2-0 (in the first leg).
'We had a lot of opportunities, we played well and had 24 shots.
'I will decide game by game, all the players are fit. The last game (Salomon) Kalou was important for us in Blackpool, and in the Champions League (first leg) Anelka scored two goals.'
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