Manchester United midfielder Paul Pogba and Barcelona forward Ousmane Dembele were among those said to be targeted by monkey noises during a friendly against the World Cup hosts in St Petersburg on Tuesday.
And Deschamps feels his team, who surrendered a two-goal lead to lose 3-2 to Colombia in Paris on Friday, can be satisfied with their efforts at Petrovsky Stadium.
"There are always things we can do better".
Russian Federation had the first big chance of a boring first half in the 15th minute when Smolov's shot from point-blank range was parried away by France keeper Hugo Loris. "But that was a little less the case in the second period". Hosts Russia scored once and it was a goal from Fedor Smolov (68th minute).
However the midfielder looked to have his swagger back as he curled a 25-yard free-kick expertly over the wall and into the bottom left corner.
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The goals for France were scored by Kylian Mbappe (40th and 83rd minutes) and Paul Pogba (49th minute).
"Apart from the free-kick, he showed creativity and quality of pass, he has that in his locker".
The 19-year-old became the youngest player to score a brace for Les Bleus but he was quick to play down his landmark moment.
"All of them did their utmost today but none of them managed to avoid making mistakes", Cherchesov admitted.
"Kick It Out also believes the Football Association should ensure it provides increased protection from racial abuse for England's black players and supporters during this summer's FIFA World Cup". "Luckily, we will not play against Brazil or France in our World Cup group".
The matches of the 2018 World Cup will be held between June 14 and July 15 at 12 stadiums located in the 11 mentioned above cities across Russian Federation.