"Now he's got that belief, the world's his oyster, so it's up to him to keep kicking goals and away he goes."
Stoinis left his eye-catching display too late for a test call-up this month. Mitch Marsh was preferred as the fast-bowling allrounder in the Indian touring party.
Stoinis was also overlooked for the home Twenty20 series that starts on February 17. Barring injury, his next shot at joining an Australia squad will come in June.
But Aaron Finch, who captained Stoinis during the recent ODI series, predicted bigger things were to come from his Victoria teammate.
"He's done exceptionally well," Finch said. "He's shown glimpses of it for a long time now, and the last 12 months, his game's been really taking off.
"He bats, bowls, fields very well. He's someone who can have a huge future at international cricket.
"Three-dimensional players like that, they don't come around every day ... hopefully that can take him forward and he can dominate international cricket."
Finch pointed to Stoinis' promotion as one of the positives to come out of Steve Smith, David Warner, Usman Khawaja and Marsh missing the 2-0 series loss in New Zealand.
"Every time he walks to the crease in any format, whoever he's playing for now, it's in the back of his mind that he can take on a world-class attack and do it very successfully," Finch said.
"Until you actually do it, it can be quite a mental hurdle to get over."
NZ skipper Kane Williamson was suitably impressed.
"A very good series from him, he appeared to be very clear and situationally aware, and hits the ball very hard," Williamson said.