He was detained and charged with violence and resisting arrest, but prosecutors threw the charges out and instead opened an investigation against the officers.
As he arrived at police headquarters on Thursday with his lawyer to file a complaint, Michel told reporters: “People who should have been protecting me attacked me. I did nothing to deserve this. I just want these three people to be punished according to the law.”
Paris Mayor Anne Hidalgo said she was “profoundly shocked” by the “intolerable act”.
Interior Minister Gérald Darmanin told French television that he would press for the officers’ dismissal, saying they had “soiled the uniform of the republic”.
Earlier this week Mr Darmanin ordered police to provide a full report after they violently dismantled a makeshift migrant camp in the capital, clashing with migrants and activists.
He tweeted that some of the scenes were “shocking”.