British is investigating mounting allegations against players who all deny the charges.Although
ICC has not specified any reason why Asif withdrew his appeal, sources said Asif took the step after consultations with his lawyer in London.
"The legal firm representing him in the case apparently has advised him to take more time as they require time to prepare for the case and appeal against the suspension," one source said.
The source added that the lawyer representing Asif had come across some technical issues in the appeal filed with the ICC and hence advised him to withdraw it for now.
The three players had filed separate appeals against their suspension this month.
Earlier, the ICC was to conduct hearing in Doha because Asif is barred from entering Dubai after being caught with a small quantity of banned substance at the Dubai airport two years back.