After a disjointed first half, the game sparked into life shortly after the interval as referee Andres Cunha awarded a penalty to France after consulting VAR and deciding that Josh Risdon had clipped Griezmann just inside the area. "But when he went to see if there was a penalty I immediately thought about how I would take it".
Although Australian captain Mile Jedinak levelled from the spot four minutes later following an intentional handball by by Samuel Umtiti, goalline technology was used in decisive fashion when Paul Pogba's deflected shot crept over the goalline in the 81st minute.
"First of all, I felt the contact, for me it was a penalty and there was no whistle", Greizmann said post-match.
Australia's manager, Bert van Marwijk, was also outspoken, inferring that the referee caved in to pressure when consulting a replay on the edge of the pitch.
"I'm not going to complain about the use of video today", France coach Didier Deschamps said.
There was no doubting the quality of the approach play to Pogba's goal, though, after he exchanged one-twos with two team mates to carve his way through the middle of the Australia defence.
Amid the large clusters of gold provided by around 10,000 Socceroos supporters, France initially assumed control of this Group C opener despite the long journey from their Moscow training base.
"I didn't expect such a tough game and to play against a team so well organised", he added in the mixed zone.
The French did not impress in the final third of the field and their defence often looked shaky. But the French showed guts to secure the three points with a good pressing toward the end.
MF Aaron Mooy, 7 - A strong start defensively grew into an impressive all-round display. But in the second half of the game everything would come to life.