The Socceroos were on the wrong side of football history, with the VAR decision the first time the video referee has been called on in a World Cup.
"It was not easy, but winning the first match is very important", Deschamps told L'Equipe.
Antoine Griezmann scored from the penalty spot to put France one up, and speaking to the media after the match, van Marwijk couldn't hide his disappointment of Cunha's handling of the game.
France were also the guinea pigs at the 2014 World Cup when goal-line technology made its debut. But the team of VAR officials had a look at the incident and decided after multiple replays that Griezmann had indeed been fouled.
But after 15 minutes of solid defending, Australia grew into the game and conjured up the best chance so far. "We were not quick enough on the pitch, offensively we were not as good as we can be".
"It was a hard, complicated match against a tough Australian side".
"We had some luck to win but it was very important to start the tournament with a victory". It is a step forward.
Les Bleus kick off their World Cup campaign against Australia on June 16 before taking on Peru and Denmark in their other Group C fixtures.
"We all have to raise our game now and step by step we need to build our confidence and our momentum".
The team won admirers for their strong defence against the French but a second guess form a referee denied Australia a deserved draw, coach Bert van Marwijk says.
"We all have to be on the same page". "We have to find the right balance".