England captain Kane put them ahead from close range from a low Ryan Bertrand cross before the 10-minute mark.
"On the other hand we have to get better as a team and at managing the game, especially when they went down to 10 men".
In an emotional show of support for the victims of the recent attacks in Manchester and London, France and England players walked out to the sound of Don't Look Back in Anger from Oasis moments before Tuesday's friendly at Stade de France.
France's players were touched by the overwhelming show of support they received from England fans when they played a friendly at Wembley Stadium on November 17, 2015 - just four days after the deadly attacks that swept through Paris.
"I thought part of that was because we exhausted, I think we put a huge amount into the game to try and press and to deal with the physical capabilities France had - and it was a problem for us all night, their pace and their athleticism". However, despite the French defender seeing red over the incident, goals from Samuel Umtiti, Djibril Sidibe and Ousmane Dembélé handed the hosts an entertaining victory. When France went down to 10 men, I think we looked more anxious.
England did not look like equalising in the dying embers of the game, with the risky Mbappe and Dembele taking the fight to the Three Lions. "Today it was slightly different, but physically the demands their players posed meant we started to tire and that led to a mistake for the third goal".
"We should have kept the ball far better".
England had been lucky to escape from Glasgow with a 2-2 draw thanks to Kane's injury-time equaliser in the World Cup qualifier against Scotland at Hampden Park on Saturday.
Olivier Giroud had an effort ruled out for offside and France were forced into an early change - the first of many substitutions - as Lucas Digne replaced the injured Benjamin Mendy.
"We just weren't good enough", Kane said.
Stones was doing his day job as a central defender in France - and struggled desperately in the face of the verve and threat France provided with the likes of Mbappe and Dembele.
He confirmed referee Davide Massa's original decision to award the spot-kick, resulting in the sending off of Varane, much to the disgust of the France players and the home crowd.