Zinedine Zidane was without a host of first team players for the trip to the Coliseum Alfonso Perez, which ended in a 0-0 draw.
"The strength of the group is found in adversity," Courtois said at full time.
"Now is not the time to moan about injuries - you have to show your face.
"All the players that are at Real Madrid are here for a reason.
"We're a bit disappointed by the draw, but it's not easy with so many games.
"We were up against Getafe, which is a tough place to go, on a very dry pitch. It was difficult to move the ball about.
"There was a [chance] in the first half [Jaime Mata's header] which I tipped on to the post. I don't know if it made a difference."
As many of his senior teammates fall foul of injuries or suspension, Courtois has been a constant in this Real Madrid team.
"It's up for each person to say, I only know how I feel," Courtois said on the team's physical level.
"For example, Luka Modric... I think the amount of games he's played for someone of his age - not to call him old - but maybe he could do with a game's rest, but once again he played 90 minutes.
"With so many injuries, you can't rotate as much and you're a bit at your limit, but we don't think much about it.
"We have to recover well, rest well... that's the only way."