The statement from manager Sabine Kehm does not mention the word "critical" for the first time in describing the condition of the seven-time world champion.
Schumacher has been in an induced coma in a Grenoble hospital since the crash in the French Alps.
"Michael's family is very happy and confident with the work of the team of doctors treating Michael, and they trust them completely. Michael's condition is still considered as stable," Kehm said in an email.
In the first statement since Schumacher's wife, Corinna, appealed for the family to be left in peace on Jan. 7, Kehm repeated that "any information regarding Michael's health not coming from the doctors treating him or from his management must be treated as pure speculation."
Doctors treating Schumacher in Grenoble have not commented on his condition since Jan. 6, when they said they still regarded him to be critical.
The 45-year-old Schumacher hit his head on a rock at the Meribel ski resort.
Schumacher retired from F1 in 2012 as the most successful driver in series history.