Going into the second leg, the tie was on a knife-edge due to Barcelona's inability to score an away goal in a 0-0 draw at the Lyon Olympic Stadium.
"We played a great first half, then from a moment's distraction it was 2-1 and we had five or 10 delicate minutes", said Barca striker Suarez.More news: Eye scan may detect early signs of Alzheimer's
"But every team left is hard, so let's see who we get next". "Whoever we get, we take tricky".
The Brazilian brushed off talk of a summer exit for now, though, saying his focus is on Sunday's game against Real Betis as Barca continue to compete on three fronts.
In stunning fashion, Barcelona surged forward with a Panenka penalty from Messi following a foul on Luis Suarez in the 17th minute.
The heavens looked to open for the French side just before the hour mark when Lucas Tousart finished into the bottom corner from poor defending by the Catalans to reduce the deficit.More news: Decision time: Brexit deal returns to parliament
But Messi soon eased their nerves, toying with Lyon's defence before releasing a shot too powerful for Gorgelin to stop. Messi has beaten them more than any other side: 28 times to be precise. They will be looking to change their Quarter Final fate this time around, as they were knocked out of the Quarter Finals in the last 3 seasons.
"We have to concede they were better than us. He has instinctive talent".
Lyon coach Genesio added: "Tonight Messi was in Champions League mode". He's a genius and can do things that nobody else can.More news: Mercedes look to burst Ferrari's bubble in Melbourne