France moved to the top of the Group A standings with the draw, but Giroud believes that it will now require maximum points from games against Bulgaria and Belarus next month to hold off Sweden and the Netherlands.
"There is a lot of frustration and disappointment," he told RMC. "We have to be realistic, efficient. We had to open the scoring in the first half and make things easier for ourselves. We're going to have to win the last two games to go to the World Cup. It's never easy to qualify."
France, ranked 126 places above Luxembourg in the FIFA rankings, are currently one point ahead of Sweden and four in front of the Netherlands.