The host nation sparkled in its 4-1 walloping of Kuwait in the tournament opener which Postecoglou hopes will "capture some hearts and minds".
"It was a good night for us. We got a win and it was a solid performance but I think there is improvement there," the Australia coach said.
"They (players) will be better for it."
The buoyant Socceroos travelled to Sydney on Saturday to prepare for their next assignment, Oman on Tuesday night.
Captain Mile Jedinak twisted his left ankle in the first half of the Kuwait clash but played out the game to give Postecoglou hope the midfielder won't miss a game.
Jedinak was one of four goalscorers along with Tim Cahill, man-of-the-match Massimo Luongo and James Troisi.
"It was pleasing to see some other guys get some goals to get some confidence ... at least it shows we have multiple threats," Postecoglou said.
The spread of scorers went some way to justifying his experiments in the past year which returned just two wins from a dozen games entering the Asian Cup.
The lean results led to criticism of Postecoglou and his methods - which he expected.
"There wouldn't be a coach in the world that wouldn't understand if the results aren't there, they're going to get criticised," he said.
"It doesn't affect me.
"It's not about my vindication.
"We have been really disciplined in what the mission was 14 months ago ... there was a real directive to regenerate the team and change the way we play.
"And while I'm in the job, as long as it lasts, we're going to stick to that."
But Postecoglou hoped Australians shared his satisfaction with the confidence-boosting triumph against Kuwait.
"Absolutely we understand and we knew that responsibility ... that there would be a lot of people tuning in just to have a look at this tournament and what it's about, if we could score goals," he said.
"You're going to see a lot of good football in the next few weeks. And our role in that is to make sure we play our part and get the Australian people behind us.
"And if they do that, they will enjoy the football. We know that Aussies love their national teams.
"We have got a great opportunity to capture some hearts and minds not just about the Australian Socceroos but about football in general."
