Real eliminated United from the Champions League with the second-leg win.
"It was a very important win and eliminating a great side like Manchester United was a big step forward. Plus we did it at Old Trafford, where nothing had been seen like that in a long time. These are always clashes that have had a lot of impact because we're two great clubs," said Ramos.
"That Real Madrid was able to take such an important step and make it to the quarter-finals by eliminating a great United was really good for us in terms of morale and as a team. Now we're really looking forward to the quarter-finals."