"He is now banned until Saturday," an Italian federation spokesman said.
Parisse had been suspended for the remainder of the tournament after he was banned for 30 days following a sending off for insulting a referee during a French Top 14 club match for Stade Francais last month.
However, the number eight appealed to the French rugby federation's appeals commission and has been given a partial reprieve.
Italy, who beat France before losing to Scotland and Wales, host Ireland in the final weekend on March 16 after visiting England.
