Parisse was sent off for allegedly insulting a referee on Saturday while playing for Stade Francais in the Top14.
A six-week suspension is the minimum punishment if Parisse is found guilty and he will appear before a disciplinary hearing this week.
Parisse denies insulting Laurent Cardona and will have 72 hours to appeal any decision.
“Sorry to my team-mates and fans for the red card, which I find too harsh! I never insulted M. Cardona,” said Parisse on Twitter.
Parisse was sent off after 36 minutes of Stade’s home match with Bordeaux-Begles, having scored a try in the fourth minute.
Italy coach Jacques Brunel has subsequently called Mauro Bergamasco into his squad to face Wales.
The veteran flanker was not included in the Italy squad for the games against France and Scotland.