Lille striker Payet sidelined for three weeks
"Payet, who has pulled out of tonight's Champions League game against CSKA Moscow, will undergo surgery on his right knee," the Ligue 1 champions said in a statement on Wednesday.
"He is expected to be out for about three weeks."
Payet, who was expected to feature in the Group B match in France, has been replaced by Poland winger Ludovic Obraniak.
Former England international Joe Cole, on loan from Liverpool, was named on the bench.