The 35-year-old collapsed on the pitch after feeling a sharp pain in his right knee while playing for PSG in their 2-0 French Cup final victory over Les Herbiers on Tuesday, reports Xinhua news agency.
On Friday, Brazil's medical staff said Alves would need surgery, confirming the defender's worst fears less than a month before football's flagship tournament begins.
"Maybe my ego is a bit hurt right now, but my soul is at peace because I always tried to do my best," Alves said in a video posted on social media on Saturday.
According to Brazil team doctor Rodrigo Lasmar, Alves will need at least six months to recover from the operation to repair a detached anterior cruciate ligament.
"When I felt the pain in my knee, my soul went out of my body. I knew from the moment I hit the ground that I was not going to be on the plane to Russia," he wrote in The Players' Tribune.
"In the changing room, the PSG doctors told me that we would have to wait until the next day to get the results of some tests, but I knew in my heart that it was over. I only cried one time, when I was by myself. And let me tell you something: I don't want anybody to cry for me. I don't want anybody to feel sorry for me. I have lived my dreams."
Brazil's other right-back options include Bayern Munich's Rafinha, Manchester City's Danilo and Corinthians' Fagner.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)