"On behalf of my mother and our family, we are extremely grateful for all the love and support we've received," Rivers said in a statement. "At this time she does remain on life support."
She added: "I know my mother would be overwhelmed by the continued outpouring of kindness and I want to thank everyone for keeping us in their prayers."
The Fashion Police co-host was undergoing a routine throat procedure Thursday when she entered respiratory and cardiac arrest. The comedienne was rushed to Mount Sinai Hospital and has been in a medically induced coma since then. As RadarOnline.com previously reported, Joan Rivers was supposed to be taken out of her coma this weekend to evaluate any brain damage.