The Reds comprehensively defeated Porto 5-0 on aggregate on Tuesday to reach the last eight of the Champions League for the first time in nine years.
"Yes, we'd like a draw against an English club," Firmino said. "Why not? We have shown in the past few seasons we can beat all the English clubs.
"Our record is good against them. We feel we have played well against the top English clubs and shown we can beat them."
"We are not concerned who we get. We don't mind. We are not afraid. I don't think we have anything to fear from any side now.
"If you are in the draw (at this stage) then you can not be afraid of anyone. We feel we can beat any side on our day, and we don't mind who we get. I think we are a team who will cause problems to others.
"Of course they are good teams. They are all good teams (left in the draw). But I don't think it matters to us (who we get).
"We are a good team, we can play against the big Spanish teams and we feel we can be a match for them. You have to play against the big teams."