The family's attorney, John Oberholtzer, said Wednesday that the ruling essentially ordered the judge to disregard the rights of the parents.
Andy Hershberger, the girl's father, said the family agreed to begin two years of treatments for Sarah last spring but stopped a second round of chemotherapy in June because it was making her extremely sick.
"It put her down for two days. She was not like her normal self," he said. "We just thought we cannot do this to her."
Sarah begged her parents to stop the chemotherapy and they agreed after a great deal of prayer, Hershberger said. The family, members of an insular Amish community, shuns many facets of modern life and is deeply religious. They live on a farm and operate a produce stand near a village, southwest of Cleveland.
"Our belief is, to a certain extent, we can use modern medicine, but at some times we have to stop it and do something else," Hershberger said in a telephone interview.
They opted to consult with a wellness center and treat Sarah with natural medicines, such as herbs and vitamins, and see another doctor who is monitoring their daughter, Hershberger said.
"We see her every day. We watch her really close," her father said. "She runs, plays. She crawls up ladders. She's got a lot of energy, more than she had when she was doing chemo."
Hershberger said they have not ruled out returning to Akron Children's Hospital if Sarah's health worsens. "We told them if it gets to the point that we cannot do anything for her, we would come back," he said.
After the appeals court decision, the hospital said in a statement Wednesday that its goal is to ensure that the girl receives the most appropriate care based on scientific evidence and added that the allegation has never been about "parental unfitness."