Finch has spent almost his entire T20I career as opener, but he raised eyebrows by batting either at first drop or at No. 4 over the past three matches.
The 35-year-old will return to his customary opening spot for games two and three against England in Canberra.
"I'll go back to the top next game, which was always the plan," Finch said. "It was just about giving Greeny more opportunity at the top and trying things...in case he had to be called into the [World Cup] squad."
Green enjoyed remarkable success as opener during the 2-1 series loss in India. But his return to Australia has been less fruitful, with Green posting scores of 14, 1, and 1 as opener in his past three innings.
Despite that, Green appears set to be first cab off the rank if Australia need a late injury replacement for their World Cup title defence.
England captain Jos Buttler said even he was surprised when Finch didn't open at Optus Stadium.
"It's a good question for them," Buttler said. "He's opened a lot in T20 cricket and done that really well. But he's obviously got a plan."
"It's actually alright, it just stung for a little bit," said Stoinis, who only just returned from a side strain
Australia rested Steve Smith, Adam Zampa, Mitchell Starc, Josh Hazlewood, Pat Cummins and Glenn Maxwell for the series opener against England.
Ashton Agar (side strain) was also overlooked while he builds back to full fitness, but he could be available for the next game. It means Australia could welcome back up to seven players for game two, creating a huge selection squeeze.