The U.S. singer and two other people have been released from police custody, the Paris Prosecutor's office said.
California fish and wildlife agents took the monkey away soon after Brown posted a photo of it on Instagram.
He was wanted on a warrant for felony battery from Hillsborough County.
Prominent attorney Gloria Allred is representing the unidentified plaintiff.
The social media company apologized and removed the ad last weekend.
"Imagine being that bold."
The singer of the anthem urged the crowd to honor the victims of the 2001 attacks.
Police were called to Brown's home after a woman claimed the singer threatened her with a gun.
Police arrived at Brown's house around 3 a.m. this morning.
Being a gentleman and a fellow citoyen du monde as well as a poet, Chris wrote back, "Ira- what an absolutely lovely note
The lawsuit accused Brown of being a "known gang associate."