Beckham eyes England return
The superb Zinedine Zidane handed Real a 1-0 triumph at Santiago Bernabeu in a rugged encounter, which sent the Spanish champions into the last eight.
England captain Beckham had a hand in the winning goal and delivered an industrious display in midfield.
He feels Real do not need to be concerned about avoiding any side in the quarter finals and would relish the prospect of facing a Premiership team.
"At this stage it doesn't matter who you get," Beckham told Sky Sports 2. "They are all big games.
"Arsenal are playing well but it's the knockout stage and they are all hard games.
"I don't mind facing Arsenal. It would be nice to come back to England and play in front of everyone. It would be nice to get an English club but we'll see."
Real veered away from their usual swashbuckling style to produce a battling display in vanquishing the German giants.
Beckham feels Real learned the lessons from the first leg in Munich, with the midfielder praising the solidity of the team's occasionally suspect defence.
He added: "It was good because leading into the match, there was quite a bit of pressure on us with people saying we were favourites and being at home.
"We worked hard, defended well and (Iker) Casillas again made some great saves.
"I think we realised after the first game that they were putting in some tackles and throwing their weight about.
"We expected them to come here and do that but we had the advantage going into the game and were well prepared for that tonight."