France were made to work for their opening victory in the group against a resilient Austrian side, who pick up only their second loss in the last 12 months.
Mbappe worked well down the wings to set up an inviting cross, which was headed into his team's own net by Wober. The French number 10 was unlucky not to score a goal of his own later on in the game, before he was brought off due to injury.
Despite the result, Rangnick will take plenty of positives from the match, with Austria looking to bounce back immediately with a game against Poland on Friday. France, on the other hand, will be happy with the three points as they prepare for a tough match against group leaders, the Netherlands.
Austria
Patrick Pentz - 7/10
Could do nothing to prevent the goal but a good showing to prevent further French chances.
Stefan Posch - 6/10
Tended to push forward more compared to his opposite fullback but faced a tough challenge against Hernandez.
Kevin Danso - 6/10
Could possibly have done better to prevent the goal. Some nice moments throughout the game.
Maximillian Wober - 4/10
An evening to forget for the centre back, with his own goal the only goal of the game. The first player to go into the book and the first to be subbed off. Some clumsy challenges in the second half.
Phillipp Mwene - 7/10
Pushed upfield but did well to stop the threat of Ousmane Dembele down the right hand side. An accurate passer of the ball.
Nicholas Seiwald - 8/10
A strong showing in the engine room for Austria. Had bundles of energy and pressed well.
Florian Grillitsch - 6/10
Picked up a knock early on and couldn't really get into the game. Replaced by Trauner after the hour mark.
Konrad Laimer - 7/10
Linked up well with his fellow attackers, especially Baumgartner. Did well to win the ball back in dangerous areas. Dropped slightly deeper in the second half.
Marcel Sabitzer - 6/10
A quieter showing from the Austria skipper. Couldn't get on the ball as much as he may have liked.
Christoph Baumgartner - 7/10
Proved to be his team's best attacking outlet, popping up in areas of space to create chances or take them himself. Had the best chance of the game for Austria, scuffing a shot after being set up well by Sabitzer.
Michael Gregoritsch - 6/10
Played his role as the lone striker, with decent hold-up play to create chances, but couldn't find many opportunities to score. Swapped out for Arnautovic after an hour.
Substitutes
Gernot Trauner - 6/10
Filled in for Wober in defence and had a relatively quiet outing.
Marko Arnautovic - 6/10
Was smart with his runs and positioning but was largely unsuccessful in attack, being handled well by the French defence.
Patrick Wimmer - 7/10
Looked the brightest of the Austrian subs and added some freshness to the attack. Took over set piece duty and created some close chances. Almost nabbed a goal on the counter.
Alexander Prass - n/a
Subbed on for Mwene late on and had few chances to influence the game.
France
Mike Maignan - 7/10
Called into action a few times, but a mostly quiet game for the Milan keeper. Was brave and took a beating by Baumgartner after committing to a 50/50 in the second half.
Jules Kounde - 7/10
Linked up well with Dembele down the right and overlapped effectively. Had a few attacking chances and handled the Austrian attack well.
William Saliba - 6/10
Seemed a little uncomfortable in the game after earning his starting spot, perhaps as he started on the left side of the defence as opposed to his usual right hand side. Had to be bailed out by Kante after being beaten by Wimmer on the counter.
Dayot Upamecano - 7/10
A slow start for the Bayern centre-half but demonstrated his strength and was good at playing out from the back.
Theo Hernandez - 8/10
Proved why he's one of the best in his position. Made good runs into attack and showed confidence on the ball in possession. Unlucky not to pick up an assist or two.
N'Golo Kante - 9/10
An excellent outing. Defensively solid (as usual) and sometimes pushed higher into attack in the second half when needed. A vintage Kante interception to stop an Austrian counterattack in the last few minutes, tracking back and covering for Saliba.
Adrien Rabiot - 7/10
Full of energy and was mostly accurate with his passing. Covered the most ground for France in the first half.
Ousmane Dembele - 7/10
Had an entertaining competition with Mwene down France's right hand side and was booked for a shove on the full-back. Was good at tracking back and defending the wing in the first half.
Antoine Griezmann - 7/10
Released Mbappe in behind with an excellent pass in the first half. Almost netted a goal in the second half following a good run and cross by Hernandez. Good when dropping deep and offering a passing option.
Marcus Thuram - 7/10
Grew into the game and often rotated with Mbappe to move more centrally. Used his height and aerial dominance to help out in attack as well as defense. Perhaps deserved a bit more from his chances.
Kylian Mbappe - 8/10
Constantly solid and unpredictable in attack. Wonderful run and skill down the right to set up the first goal. Should have scored his first of the tournament after being released one on one, but fired just wide. Came off with a nasty injury.
Substitutes
Randal Kolo Muani - 5/10
Couldn't make the most of his chances. Came closest with a smart cross to Giroud in the middle, but was cut out well by Mwene.
Eduardo Camavinga - 6/10
Showed good energy and aerial ability. Filled in for Rabiot well.
Olivier Giroud / Youssouf Fofana - n/a
Couldn't really impact the game in the few minutes they were on the pitch.
