Parisse was dismissed for insulting the referee in Stade Francais' Top 14 game with Bordeaux and any suspension is set to include the Six Nations.
"We have seen the images and talked with the player knowing what the referee has put in his report. The club have made a request to bring the disciplinary hearing forward to Wednesday," Troiani told reporters.
"Until we hear otherwise, we can only assume the player is not available for Saturday."
Italy, who shocked France in their opener before losing to Scotland, have already called up experienced flanker Mauro Bergamasco to their training squad as cover in case Parisse cannot play in Rome.
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