CAS said on Tuesday that it had also frozen a ban on Al Hadari's Swiss club FC Sion from making any domestic or international signings for the next two transfer periods.
The sanctions against the 36-year-old goalkeeper and the club were handed out by FIFA's Dispute Resolution Chamber following the player's controversial move from Egyptian club Al Ahli last year.
CAS said it would make a final ruling in approximately four months' time.
Al Hadari, who has won all of Africa's top honours at club and international level, walked out on Al Ahli after helping Egypt win the African Nations Cup in February last year.
Although still apparently under contract to Al Ahli, the player cited article 17 of FIFA's transfer regulations which sets out the possible sanctions that can be imposed on players who breach their contracts.
He played in the Confederations Cup in South Africa last month and was inspirational in Egypt's shock 1-0 win over Italy.
