As an experienced teacher I can answer this.... If you want parental support, you have to engage the parent. You have to stay in personal contact with them and you have to make them "feel" like you believe they are doing the best they know with their children.
You have to remember, all parents have an outstanding memory of their personal school experience. Some just loved Mrs. Oglethorpe while others absolutely hated Mr. Myers.
When parents approach the school they are flooded with the memory of their positive or negative experience. And many of them don't see themselves as on an equal plane with the teacher.
This is just basic info...but if you can grasp the perspective of the parent, (no matter the race, economics or culture), you will, with some effort garner their support.
Have a wonderful school year.