It means they are significantly adrift in the chase for the top four positions, which give Champions League football for next season.
"I don't even question myself about that - it is not a crisis. We have played (Manchester) United and City away. Obviously we could have done better but these are not small games," said Giroud to Sky Sports after the game.
"We are not happy with that [but] it is not the day and the moment to question whether we are behind the boss or not. Obviously we are behind him and we are all sticking together.
"It is not a good weekend for us because our opponents in the Champions League race won.
"But we still have nine games to go. We will believe until the end and keep the faith in our game.
"Some top teams will play against each other - you never know. We need to keep the focus on this and win the next game and go step by step. We need momentum to reach fourth place."