A draw between Mexico and Uruguay in their final match would put the 1998 champions and 2006 runners-up out.
"It's a catastrophe, that's all we can say. We are not a great team," said Evra, who was part of the side which suffered an early exit at Euro 2008.
"When you are knocked out of the European championship in the first round and you are also capable of being knocked out in the first round of the World Cup, you just don't want to think about football after that.
"I honestly didn't see it coming. What hurts is that we didn't know how to react, or how to equalise, and then they killed us with that second goal.
"I am deeply upset, I'm disgusted. We owe it to ourselves to beat South Africa.
"But as for miracles, I don't believe in them too much."