Suspended FIFA president Blatter and his UEFA counterpart Platini, likewise banned for eight years for ethics violations, had the appeals against their sanctions heard earlier this week.
Blatter, 79, argued his case on Tuesday at FIFA's headquarters in Zurich, while Platini, 60, also a FIFA vice-president before his ban, was heard the day before.
The pair were found to have abused their positions over a mysterious 2 million Swiss franc ($2 million, 1.8 million euros) payment made in 2011.
The notorious 2011 payment is also part of a criminal probe by Swiss prosecutors targeting Blatter, in which Platini has been questioned in a capacity that falls between a witness and an accused person.
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Having been given provisional 90-day suspensions in October, they were both banned definitively on December 21.
Blatter, who turns 80 next month, had already announced he would be stepping down as FIFA president -- the election to name his replacement takes place on February 26 -- just days after his re-election for a fifth term in late May.
Should either be unsuccessful in their appeals, they could take their cases to the Court of Arbitration for Sport.