Many in the General Assembly called for talks between the ICC and the African Union in hopes of addressing the continent's concerns and reversing the decisions to leave by Burundi, South Africa and Gambia.
Kenyan Ambassador Tom Amolo didn't say whether his country would also leave, but he told the 193-member world body that his country was monitoring the withdrawals "with very keen interest."
Nigeria, Africa's most populous country, as well as Senegal, the first country to ratify the Rome Statute that established the court, and Tanzania reiterated their support for the ICC, stressing the court's importance in combatting impunity for the world's most atrocious crimes, including genocide.
The ICC has been accused of bias by some African leaders because since the Rome treaty came into force in 2002, only four people have been convicted of war crimes and crimes against humanity.
Three were from Congo and one from Mali. So far, it has indicted only suspects from Africa, and of the 10 full-scale investigations currently underway, nine are in Africa and only one elsewhere in the former Soviet republic of Georgia.