Justice Albie Sachs will be the sole member of an ICC disputes resolution committee to hear the dispute over the six-match ban on Ganguly over his team's repeated slow over rates, according to an ICC statement.
Ganguly was penalised by match referee Chris Broad during a One-day series against Pakistan at home in April, a decision upheld by the ICC's appeals commissioner Michael Beloff.
But the Board of Control for Cricket in India (BCCI) asked the ICC for arbitration, citing flaws in the process by which the charge and the appeal were heard.
Ganguly, who sat out the last two games of that series, will have to miss four matches of a tri-series against the West Indies and hosts Sri Lanka starting on July 30 if the ban is not overturned.
The skipper was banned after his team took 30 extra minutes to bowl the stipulated 50 overs in two successive games.
In November last year, Ganguly was banned for two Tests for a similar offence, but his appeal against match referee Clive Lloyd's decision was upheld by another ICC commissioner, Tim Castle.
Justice Sachs would decide on the format and timeframe for the hearing and his decision would be final, the ICC statement said.