The 33-year-old was spotted performing a strange celebration, appearing to write a note in the air in the direction of Kante.
Kante, a close friend of Giroud's having played together at both international and club level, was ruled out of the clash with a hamstring injury.
Explaining the celebration, Giroud told Sky Sports: "It's just I play Scrabble with N'Golo Kante and I aimed it at him. That's it!"
Love that fact that #Giroud is always persistent in his game. Always!— Shubham (@Shu_07_bham) July 14, 2020
He is the only one in our squad who has that quality.
This is a very rare quality and only a few possess this. Elite level mentality!
And that celebration today to #Kante on playing games pic.twitter.com/JLzg3Q55La