The 28-year-old attacker's man of the match display typified the kind of skill Hammers fans have been treated to every game since his arrival from Marseille in the summer.
But despite being ranked the English top flight's best performing signing of the summer by the EA Sports Player Performance Index, as reported by Sky Sports, Payet was dropped by former Chelsea midfielder Deschamps for France's latest matches.
Deschamps said he wanted to see more from the playmaker, but Payet hit back in an interview with Canal Football Club, saying he was bewildered by the decision to drop him.
'For France the demands are greater'
But now speaking to the Get French Football News website, Deschamps has hit back at the new Hammers hero, likening him to a lamb and saying he only performs at club level.
"It does not bother me, the players can say what they want," Deschamps told GFFN.
"He is in training, I speak with him and tell him what I expect of him on the pitch. After that he understands, either he does it or he doesn’t do it… He has the right not to understand, that is not my problem.
"Dimitri is a quality player, who performs well for his clubs. He is good in a certain position and I am here to judge.
"For France, the demands are greater. Everyone deserves a shot in life. But I do not have only lambs, I have players with character.”
Deschamps' strong words will do little to build any bridges between the pair as France gear up for the European Championships next summer.
As a player, Payet, who has played 15 times for the national side scoring once, is the polar opposite to Deschamps.
While Deschamps carved out a hugely successful career as a midfield destroyer, simply sitting in and breaking up attacks, Payet is a player who always wants the ball and tries to create and score goals.
"Water carrier" has always been divisive
Manchester United legend Eric Cantona once famously said Deschamps was "nothing more than a water carrier" insisting: "You can find players like him (Deschamps) on every street corner."
If nothing else it shows Deschamps has always been a divisive figure in French football and it will be interesting to see if he will forgive the latest outburst in the media from a French midfielder full of skill and self-confidence.
As any West Ham, Arsenal, Liverpool or Newcastle fan will testify... if France can do without a player as talented as Payet, they must have some very gifted players.