In defiance of Australian coach Justin Langer's optimistic plea for fans to treat his boys with respect, there were jeers as Warner walked out to begin Australia's pursuit of 208.
Earlier, Afghanistan won the toss and opted to bat first but had a poor start.
Though Australia registered a comprehensive seven-wicket win over Afghanistan, Zampa said the Asian side will do good in their remaining eight matches.
The pair were back for their first official one day worldwide after year-long bans following a ball-tampering scandal in South Africa.
Smith was caught with just three more runs needed to win.
As if keen to show the world he has changed, Warner took a while to get going.
Zampa said he did not think Warner and Smith would necessarily feed off the negative vibes from the crowd, but instead were shutting them out, praising them for the way they were handling themselves.
"It's good to be back and it's a good win for us", said man-of-the-match Warner at the presentation ceremony.
The pair of Finch and Warner put on a 96-run stand for the opening wicket today, which is the 6th highest partnership for the opening wicket between the pair.
"It's a positive victory and now we move on to the West Indies.There's a great buzz about this team at this moment".
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With their team in deep trouble, Rahmat Shah and Hashmatullah Shahidi led a fightback for the minnows, playing in only their second World Cup, putting on a gritty 51 for the third wicket.
Afghanistan will travel to Cardiff aiming to pick off a demoralized Sri Lanka team which loss to New Zealand by 10 wickets.
In the next over, former skipper Smith dived to his left to stop a drive from Mohammad Nabi, returning the ball smartly to Carey, who whipped off the bails with the batsman stranded, leaving Afghanistan struggling at 77-5.
They fought back bravely, with 43 from Rahmat Shah and 51 from Najibullah Zadran, but were still dismissed for 207 with more than 11 overs to spare.
With the Afghan batting crumbling, Zadran and captain Gulbadin Naib (31) took the driver's seat, taking Afghanistan past the three-figure mark in the 26th over.
Pat Cummins had Hazratullah Zazai caught behind in the next over to make it 5-2, meaning both Afghan openers were out for ducks.
Adam Zampa took wickets but leaked runs against Afghanistan.
But with fast bowlers Mitchell Starc and Pat Cummins also in the side, Coulter-Nile was confident Australia had the firepower to neutralise him.
Late order blitz from skipper Gulbadin Naib and Rashid Khan allowed Afghanistan to post a respectable score on the board.
"We have spoken a bit how we are going to handle that situation", he said.