That caused their embargo being indefinitely postponed - leading to the signing of five players this summer.
The most notable arrival was the ?75million acquisition of Suarez from Liverpool.
Thomas Vermaelen, Jeremy Mathieu, Claudio Bravo and Ivan Rakitic also joined the Catalans this summer.
Even if FIFA reject Barca's appeal then they could still take the case further to the Court of Arbitration for Sport in a bid to have the punishment rescinded.
Lionel Messi and Co host Elche on Saturday in their La Liga opener on Sunday.
