Juventus lodged an appeal with the Italian Olympic Committee (CONI) on Wednesday after deciding against taking their case to the civil court.
Juve had planned to take their appeal to the civil court after being demoted to Serie B and docked 17 points for their part in the match-fixing scandal.
But Fifa had warned Italy could be thrown out of Euro 2008 qualifying if Juve continued their civil action.
The Italian club hopes to have its points deduction reduced.
Prior to withdrawing their civil court action the club's lawyers were due to appear in front of the regional court of Lazio on Friday.
The opening day of the Serie A season has already been put back two weeks to 10 September as a result of the legal process.
Juventus were also stripped of their last two Italian titles for their part in the match-fixing scandal.