Holger Osieck was this weekend sacked as Australia's manager after he oversaw consecutive 6-0 losses, with Hiddink firming as the man Football Federation Australia is most likely to enlist ahead of the 2014 World Cup.
Bresciano said there was a "cone of silence" in the Parc des Princes dressing room as Australia struggled to come to terms with their second shambolic loss in as many starts.
"On behalf of the team we'd like to apologise to our fans and the people in Australia," the 33-year-old told Fox Sports on Sunday.
"This is not what football is all about ... obviously it's humiliating for us.
"There wasn't much to say after the game ... it's probably something you want to forget about.
"But you can't keep forgetting about it, (if you do) it's going to keep occurring."
Bresciano, who flourished in the national team under the reign of Hiddink in 2005-06, was forthright when asked if he'd like to see the Dutchman back in charge.
"Of course. I think a lot of people want to see Guus back," he said.
But Bresciano asked fans to keep expectations in check instead of romancing about what might be possible under the man who helped guide Australia into the round of 16 at the 2006 World Cup in Germany.
"He did a great job with us in 2005 and 2006," he said.
"But I can say that it's not the same team. I think a lot of people have to realise that.
"We have to be realistic.
"We should stop comparing this (current Socceroos) team to the one we had in 2006.
"Because you can see the players involved in today's national team aren't playing at the same level as the boys in 2006."
Bresciano urged his teammates to embrace the philosophies of Osieck's long-term replacement, and make an on-field statement under caretaker Aurelio Vidmar in the upcoming friendly against Canada in London.
"We have to look forward," Bresciano said of the Craven Cottage clash on Tuesday night (Wednesday morning AEDT).
"We got to try and push everything aside and take on the new path, and prepare ourselves for the game on Tuesday."