Genevieve Legay, a 73-year-old grandmother and anti-capitalism activist, suffered a fractured skull during a police charge against protesters in Nice on the weekend.
Macron, who was in the area on Sunday for a meeting with Chinese President Xi Jinping, told the local Nice-Matin newspaper: "When one is fragile and risks being shoved, one does not go to places that are declared off-limits and one does not put oneself in a situation like that."
He added that he wished Legay a "speedy recovery, and perhaps a degree of wisdom".
Legay's family, who have filed a legal complaint, said Macron’s response was "crass and insensitive". They also accused riot police of using excessive force to disperse the protesters.
Prosecutors in Nice have opened an inquiry to try and establish what happened when Legay was injured.
France's fifth-biggest city, Nice was one of a dozen cities to ban the Yellow Vests from protesting in central areas following violet riots in Paris.