An alleged leader of Séléka, a largely Muslim rebel coalition, he was handed over to the ICC on Sunday after his arrest in the Bria region.
The ICC had issued a warrant for his arrest on 7 January 2019.
In 2013, Séléka rebels seized power in the majority-Christian country, ousting President François Bozizé. Thousands of people died in the violence that followed between the rebels and Christian militias.
Mr Kani is accused of war crimes and crimes against humanity allegedly committed at that time.
“I will be silent for now and express myself when the time comes,” said Mr Kani, appearing by video link from the ICC’s detention centre because of coronavirus restrictions.
“I am not yet very fully informed of my rights. I am aware that as a suspect I am presumed innocent.”
A hearing to confirm the charges against Mr Kani was scheduled for 5 October.
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