Authorities say the plane carrying oil workers crashed three minutes after take-off.
The announcement comes as M23 rebels tightened their control over Goma city, seizing its airport.
Duduzile Zuma-Sambudla is accused of inciting violence in 2021 following the jailing of her father.
Where are rebels causing havoc in eastern DR Congo getting their funding?
Where are rebels causing havoc in eastern DR Congo getting their funding?
Where are rebels causing havoc in eastern DR Congo getting their funding?
M23 rebels have made rapid advances in the latest bout of conflict that has long-dogged the mineral-rich east.
The investigation comes after Italian authorities freed a Libyan national wanted by the ICC.
The 24-year-old was flown to the US accused of child exploitation, which he denies.
Reports the airport has fallen adds to the sense that the M23 has the upper hand in the eastern city of Goma.