I have a friend who did this year before last. She's American and her daughter's father is Taiwanese. She was having trouble in school, so my friend decided to home school her.
Her daughter could not be homeschooled as a Taiwanese, so she took her out of the country and brought her back on her American passport, and got her an ARC. Even then, my friend had to write a years worth of lesson plans and submit them to the MOE for approval. She was required to get special tutoring for her child from teachers of Science and Math, and the MOE consented to allow her to teach her daughter English, arts, PE, and social studies courses.
In reality, her daughter didn't get much schooling at all for the year, other than Mandarin classes so that she could stay up to grade level if she ended up back in public school again--which she did.
My friend found that her daughter was very reluctant to take her seriously as a teacher and that it was exhausting to try and work al day and then force her daughter to study in the evenings. If my friend was sick or exhausted, or not up to the fight, class got delayed, or just dropped.
The good that came of the year was that they managed to bond closer as mother and child, and the daughter had a chance to mature some. Last year she was back in public school and she did much better.
It can be done, but it's a lot of work and can be very stressful.
Good luck, OP, if you're still looking for answers.