Del Bosque admitted he would be forced to consider his own position with La Roja as Wednesday's 2-0 defeat to Chile brought the reigning world champions' defence of their World Cup crown to an ignominious end, following their 5-1 thrashing at the hands of Netherlands.
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"We must always be together in tough moments. Today is not the day to draw conclusions, we have a very bright future," he was quoted as saying by Marca following the defeat.
"Vicente del Bosque deserves complete respect. We'll be with him, whatever he decides."
Ramos later added to Fifa.com: "I don't want to say that [it's the end of an era] because this is the same team that became champions of the world and Europe. We've made history in our country and you can't forget that."
Spain winger Pedro admits he is at a loss to explain the factors behind their dismal defeat to Jorge Sampaoli's impressive Chile outfit and is eager to bow out of the World Cup on a high note against Australia.
"It's hard to explain," he told Fifa.com. "We were excited at the prospect of winning this game and carrying on in the competition but it wasn't meant to be. There's nothing else for us to do but try to sign off on a high note and then go home.
"We have to pick ourselves up. It's tough but we have to look to the future, be positive and try to take Spain back to where it belongs, which is the very top.
"We've got a difficult few days ahead of us, but we're going to try and finish in the best way we can for ourselves, the fans that have come out here, and for everyone following us at home. We need to show the pride we have in ourselves, even if it's not really going to mean anything."