The Manchester United goalkeeper struggled for Spain's 3-3 draw with Portugal for their World Cup opener.
Aspas stated to Marca: "It is a new day now but he's one of the best goalkeepers in the world and it would be strange to question him.
"I'm surprised [some are] asking for a change in goal for the national team but we need a bit of calm.
"Nobody is going to kill him over one mistake. He's a very good goalkeeper and has proven that so many times.
"He has saved us on so many occasions."