Attacking midfielder Ganso "will replace Kaka, who suffered a muscle injury that was revealed in a scan - his recovery time is estimated at 20 days," the CBF statement said.
The Centenary Copa America starts on Friday (local time), with Brazil kicking off their campaign against Ecuador the following day.
They will also face Peru and Haiti in the group stage of the tournament, which is being held in the United States for the first time.
Kaka, who was a late replacement for Douglas Costa, is the fifth player to drop out the squad due to injury.