"I think he lost it. People can be impulsive; I can be, too," his former coach, Laurent Boucher, told France Inter radio.
In a video message recorded before he surrendered to police, Dettinger acknowledged his wrongdoing but said he just tried to defend himself after he and his wife were tear-gassed by police.
"I have the people's anger inside me. I see all these presidents, ministers and the State stuffing themselves, being incapable of leading by example," Dettinger said.
"It's always us, the little ones, who pay. French people, I'm with you wholeheartedly. We need to keep fighting peacefully."
The suspect was involved in at least two fights in downtown Paris. On one video, he can be seen aiming several punches at an officer trying to protect himself with his shield on a Paris bridge close to the National Assembly, the lower house of parliament.
In another video , wearing a black hat and gloves, he kicks a police officer lying on the ground.
"What shocked me the most and I think for you it's the same thing, it's to see him hitting the poor policeman when he's on the ground," Boucher said.
"And especially when you know he's a boxer. In boxing, you learn not to hit a man on the ground. Never. And he did it."
The suspect was quickly identified but remained on the loose until he turned himself in on Monday.
Dettinger, known when he was boxing professionally as "the Gypsy of Massy," after a town in the southern suburbs of Paris, was praised by many yellow-vest protesters, lauding his courage while criticising alleged police brutality during the protests.
"Even if Christophe Dettinger is not somebody very famous, we can say that a champion is standing by our side," wrote Yasin Aslan, a Facebook user.
The French boxing federation condemned the suspect's "shameful and unacceptable behaviour" while Sports Minister Roxana Maracineanu said he had not been a member of the boxing federation since 2013.
"Alongside the French federation, we condemn his attitude which goes against the values of the noble art, and we support the attacked police officers," she said.
-AP