Flanker Thierry Dusautoir will captain the side and Jocelino Suta replaces lock Pape for the Stade de France match.
That was the only change in the squad as Saint-Andre kept faith in his players following the 23-18 defeat in Italy on Sunday.
"Because we want the players to fine-tune this week, we haven't made any changes - except for Pascal Pape," Saint-Andre said in a statement.
"I can announce that Pascal Pape will be absent against Wales. He is suffering from sciatica."
Pape had to leave the pitch after suffering a blow in a challenge midway through the second half against Italy.
Winger Vincent Clerc has not fully recovered from a thigh injury.
"He won't be in contention because apparently he won't start running again before Wednesday," Saint-Andre said.