Switzerland coach Ottmar Hitzfeld remains hopeful his side can progress through the group having won their opening game.
"It was a black day for the Swiss team," he told reporters.
"The two goals after a good first quarter of an hour killed us.
"We did not play to the level that we should have today. At 2-0, it became very hard for us, the French then logically exploited our mistakes to bring on more danger.
"Qualification is still within our reach, the team still had the merits because of the way we finished the game. Both goals from Dzemaili and Xhaka demonstrate that we are still alive in the competition.
"I want to say emphatically that qualification for the knockout stages is still within our reach. We have our destiny in our hands, we will analyze this match and bounce back – we lose together but we win together."