Wayne Pivac admitted Wales were left numb as a France try two minutes into injury time inflicted a 32-30 defeat and deprived them of a Guinness Six Nations Grand Slam.
In a chaotic finale, France had lock Paul Willemse sent off for making contact with the eye area of Wales prop Wyn Jones, while the visitors were reduced to 13 men after Taulupe Faletau and Liam Williams were sent to the sin bin.
Those yellow cards proved costly as France full-back Brice Dulin crossed from the last play of the match and dashed Welsh hopes of a second Grand Slam in three years.
"So I hope that is taken into consideration and I don't think he deserves a sanction."
On Les Bleus' comeback victory after Wales had established a 30-20 lead, Galthie added: "It's a swimming pool of happiness – happiness without limits.
"I don't know if you can measure the character of the team.
"But I'm not surprised. They tapped into their deepest reserves and found it when it was needed."
