Goals from Guti and Raul Gonzalez helped Los Merengues close the gap on leaders Barcelona to four points, before the latter clash with Atletico Madrid on Sunday.
"Tonight's three points are very important; it was important for us to win a game after our defeat against Liverpool in order to go back to how we were before Wednesday," said Ramos.
"We've earned several good results in the past few weeks. The team was extremely excited about this before the match with Liverpool, which hurt us."
The former Tottenham coach is still hopeful Real can make amends for their continental defeat when they re-meet Liverpool at Anfield this month.
"We've tried to go back to normal in the last couple of days and that's why tonight's victory was so important," Ramos added.
"But we shouldn't forget what I said about the Champions League tie being 180 minutes long. The result of the first part was 1-0. Real Madrid is capable of winning at any stadium."
Guti's Goal
Raul's Goal