Sociedad crashed out of the Copa del Rey at Mallorca on Tuesday night after suffering a 6-1 hammering.
With a La Liga trip to third-placed Valencia coming up on Saturday evening, Philippe Montanier's side - currently 16th in the table and just two points above the relegation zone - cannot afford to dwell on the humiliation of their last result, and Aperribay wants to see the players pick themselves up and make a swift response.
Referring to the cup exit, Aperribay told www.realsociedad.com: "Real have to show another face on the field. We can not accept what happened in Mallorca.
"But the longer we are lamenting, the worse.
"What we need to do is prove that this team can fight for better things, and will not be suffering.
"The team is indebted to the fans and we have to restore lost hope."
Sociedad's Claudio Bravo has offered his support to goalkeeping colleague Enaut Zubikarai, who let in the six goals at Mallorca, but has also echoed Aperribay's sentiments with regard to the team bouncing back.
"I am very sad because there are people who are feeling bad," Bravo said.
"But even the best goalkeepers in the world fail.
"We are human beings, we can only apologise and ask people to continue to trust us. We have to get up."
Valencia coach Unai Emery heads into the match after a week of transfer speculation.
He has been linked with a move for Espanyol striker Alvaro Vazquez, as well as having to field questions about a number of his own fringe players.
"When we have injuries we will need all our players," he said.
"Having players who have not participated all season is hard for them, but then having a lack of options is hard."
On Vazquez, he added: "I just want to talk about Sociedad."