Parra out for 10 weeks
Fofana is out for up to three weeks with a torn thigh muscle.
The Paris-born back, 27, who operates at centre or wing, made his international debut in 2012 and has been at Clermont since 2008, helping the side win the French championship in 2010.
Fofana could be back for the Northampton clash.
But there was more bad news for France when Castres international centre Lamerat was announced to have a strained hamstring.
"It's a strained hamstring and two weeks out," Lamerat, who came off in the 18th minute of the defeat against Wales, told AFP.
There was some positive news for the ailing French when it was revealed that fly-half Francois Trinh-Duc is close to returning to action after five months out with a broken tibia.
The Montpellier star is still not 100 per cent but his club coach Jake White says a return to competition is imminent.
"He's on good form and has worked hard on his physical condition," said White. He added that Trinh-Duc could play a top level game, but not for a full 80 minutes.
"The only thing missing is the mental side. If he is ready and if he feels good enough to play, he will play but if he still has doubts, the last thing I can do is to put him in the team when he is lacking in confidence to play at this level," added White.
France opened their Six Nations campaign with a win over Scotland but have since suffered defeats in Ireland and at home to Wales.
Their final two matches are against Italy and England.
Agence France-Presse
