Celtic boss Rodgers, who managed Liverpool for just over three years, is excited by the all-English tie although he had hoped Liverpool and City would do battle later in the competition.
Barcelona eased past Chelsea in the Round of 16 as they emerged victorious with a 4-1 aggregate over two legs against the English Champions.
If the Champions League draw hardly delighted Klopp, he suspected City were not too happy either and took a dim view of the likely rescheduling of the Liverpool derby against Everton as a outcome.
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He is a great player, one of the top three in the world. "I wish I had played [in the first leg]". Casemiro has no doubt about who is the world's best, unsurprisingly backing his Madrid team-mate.
It was the exact draw Liverpool midfielder Georginio Wijnaldum said he wanted to avoid.
"We are for sure not the favourites in this round, but in the last eight there are not a lot of favourites -- maybe two of them, Bayern and Barcelona -- but thank God it's football and nothing is decided".
The first leg of the two ties takes place at Anfield, which gives Liverpool the chance to lay down a marker early.
"It'll be hard", Real Madrid director of institutional relations Emilio Butragueño said after the draw, according to RealMadrid.com.
This will be City's first Champions League tie against domestic opposition - but not Pep Guardiola's.
"There will be a point when I am looking forward to that game but at the moment I am already angry because I heard a second ago the Premier League will put our game against Everton at 12.30 on the Saturday", said the German.
"We know the power and the strength of Liverpool - in the league they beat us, we beat them at home".