The last eight also includes Real Madrid and Barcelona from Spain, champions Inter Milan from Italy, Schalke 04 from Germany and Shakhtar Donetsk from Ukraine with the draw for the quarter and semi-finals taking place on Friday.
Chelsea made it through to the quarter-finals of Europe's premier club competition for the sixth time in eight seasons.
"We are in the quarter-finals, so let's see the draw, but we are confident, we have the experience," Chelsea goalkeeper Petr Cech said.
Spain's big two have advanced after Real finally made the last eight following six seasons of failure at the first knockout stage, thumping Olympique Lyon 3-0 at the Santiago Bernebeu for a 4-1 aggregate win.
Barcelona made sure of their place when they knocked out Arsenal, ending England's hopes of getting all four of teams into the quarters as they did in 2008 and 2009.
