It also suggested Zimbabwe be included in the next ICC Intercontinental Cup, which was recently won by Ireland.
Barack Obama has signalled a more benign approach to the ICC than his predecessor took.
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"The ICC has to take a firm lead and leave no stone unturned, " he said.
The ICC is the heir to this rich legacy, it is advancing this noble cause.
He said all three venues will be handed over to the ICC on 28 January.
The allegations came from four people who were being looked after by the ICC's protection programme.
The results of the court's internal investigations will be handed over to the ICC judges.
On Saturday, meanwhile, the ICC's Pakistan Task Team (PTT) met for the first time by teleconference.
England's final squad for the ICC World Twenty20 has to be named by 11 August.
The news came during the first day of the ICC board meeting in Dubai.
However, Pakistan team manager Yawar Saeed felt the ICC had acted too quickly in their decision.
The only permanent criminal court is the ICC and, as such, will continue to attract criticism.
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Time will tell whether the new-look ICC can really stamp out the cancer of corruption.
ICC, which is already up and running, was tailor-made to address cases such as this.
President Obama needs to think through the implications of signing us up for the ICC.
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It frustrates me, but I understand it's hard with the ICC's programme for the Test nations.
His running mate, William Ruto, also faces ICC charges at The Hague, in the Netherlands.
However, the ICC can only prosecute cases dating from after its inception in 2002.
The ICC, unlike US courts, is not bound by US law or our constitution.
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That will be followed by a trip to South Africa for the ICC Champions Trophy.
Younus was attending a hearing to discuss Pakistan's performance in the recent ICC Champions Trophy.
After that it is the ICC Twenty20 championship and then we have the Ashes.
What happens with the Kenya case could be a defining moment for the ICC.
West Indies team manager Richie Richardson said they would raise the issue with the ICC.
British diplomats have cited U.K. policy of maintaining only "essential" contact with ICC indictees.
Three Pakistan players are currently being investigated by the ICC for alleged spot-fixing allegations.
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Going by remarks of the ICC's president, the Kenyan case has clearly challenged the ICC too.
Earlier this month, ICC judges gave Mr Moreno Ocampo the go-ahead to undertake an inquiry.
But a spokesman told the BBC legal action against the ICC was on hold.
He is part of the ICC technical committee, which will decide on the Zimbabwe debate.
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