They will take no legal action in the Dec. 29 incident, after which retired the seven-time champion was put in a medically induced coma at a Grenoble hospital, Radio France Internationale reported Monday, adding a civil suit is still possible.
"There were no [safety] breaches by anybody. The accident occurred in an off-piste zone [outside of approved skiing areas]," said prosecutor Patrick Quincy. "The signals, markers and the information about the limits conformed to current French laws."
Schumacher struck a rock, which caused him to crash into a boulder, prosecutors said, adding both were more than four meters (13 feet) from a marked trail.
Schumacher is currently "in a waking-up process," his family said Thursday, as he gradually regains consciousness.