His spokeswoman, Sabine Kehm, said in a statement: "Michael's condition remains critical but stable. We would like to clearly stress that any information regarding Michael's health not coming from the doctors treating him or from his management must be treated as invalid and pure speculation."
She said a camera Schumacher had been wearing on his helmet when he had his accident, which is now being examined, was voluntarily given by the family to French investigators.
His son Mick, 14, who was skiing with Schumacher at the time of the accident, was questioned by police in the hope he can yield clues as to the circumstances of the accident.
His wife, Corinna, has been at his bedside for much of the past few days and nights, with Mick, his daughter Gina-Maria, brother Ralf and father Rold. Fans held their own vigil on Saturday outside the hospital where he is being treated for his 45th birthday.