The statement referred to an open letter published to the protesters by Italian Deputy Prime Minister and Minister of Economic Development Luigi Di Maio on Monday, dubbed "Yellow vests, do not give up!" offering them support from his anti-establishment Five Star Movement party, slamming acts of violence by French police officers, and qualifying the yellow vest movement as a peaceful one.
Mr Dettinger, known in the ring as "The Gypsy From Massy", a town near Paris, turned himself into police in the capital on yesterday morning.
Police unions were outraged by the appeal fund. Benoit Barret, deputy leader of the Police Alliance Nationale, told the French television station BFMTV the fund was "a bonus for beating up a cop", adding to the humiliation of the two injured officers.
Mr Dettinger, a former junior heavyweight champion, was still in custody on Tuesday.
Several Facebook pages entitled "Support for Christophe Dettinger" have been set up.
"It's outrageous, this kitty is shameful", Schiappa said.
On Monday, the boxer's relatives launched a fund raising operation in Leetchi, an online fundraising platform and a unit of insurer of Credit Mutuel Arkea bank, to help pay legal bills. You're making money with our dough, and we're fed up, ' Nicolle said in a video message.
How did the boxer explain his actions?
"I am a Yellow Vest. I have the anger of the people in me", he said.
A clip of him punching the officer, on the Léopold-Sédar-Senghor bridge which links the Tuileries gardens to the Musée d'Orsay, has been viewed millions of times.
Amid ongoing Yellow Vest protests across the country, France's prime minister said his government plans to strictly punish "troublemakers" holding unlawful protests and causing violence through a new draft law. He says he is protesting because he is concerned about pensioners, his children's future and unmarried women.
De Maio implored the Yellow Vest movement to ignore the French elite speaking down to them.
At least 10 people died and more than a thousand others were wounded in the protests.
On Saturday, protestors in Paris smashed the gates to a government office and cars and motorbikes were set alight.
Dubbed the "Collectors' Referendum", the latest demonstration by the movement calls on supporters to withdraw all their savings and other deposited cash from financial institutions on Saturday.
These were dropped in early December and Macron has since offered up further measures to appease protesters, including wage rises for the poorest workers.