The family warned it would be a “long hard fight” but praised the doctors for their efforts.
They added: “There sometimes are small, encouraging signs, but we also know that this is the time to be very patient.
“Michael has suffered severe injuries. It’s very hard to comprehend for all of us that Michael has been hurt so terribly in such a banal situation.
“It was clear from the start that this will be a long and hard fight for Michael. We are taking this fight on together with the team of doctors, whom we fully trust.”
Ski accident: Michael Schumacher pictured on the slopes in Italy in 2006
epa04047957 (FILE) A file picture dated 12 January 2006 shows German then Formula One driver Michael Schumacher getting into carving position as he takes part in a 'Giant Slalom Ski Race' in Madonna di Campiglio, Italy. According to reports, Michael Schum
Schumacher is being brought out of his coma by doctors at the hospital in Grenoble. He has undergone two operations to remove blood clots from his brain, and remains on a ventilator.
The length of his sedation has prompted speculation he may permanently remain in a vegetative state, or if he does wake, will be severely physically and mentally limited.
Schumacher’s manager Sabine Kehm said the statement was released due to “an increasing interest in light of the start of the Formula 1 season”.
It added: “It is heartwarming to see how much sympathy his family is shown and the family is extremely grateful. However, it should not be forgotten that the family is dealing with an extremely fragile situation.” Schumacher was skiing with his 14-year-old son when he lost control after hitting a rock, and smashed his head on a boulder 34 feet further down the mountain.
His 45-year-old wife has remained at his bedside. Last month French investigators closed the official inquiry into his accident, ruling out any criminal wrongdoing.