Indulgent parenting is a style of parenting in which parents are very involved with their children but place few demands or controls on them. Parents are nurturing and accepting, and are responsive to the child's needs and wishes.hildren whose parents are neglectful develop the sense that other aspects of the parents’ lives are more important than they are. Many children of this parenting style often attempt to provide for themselves or halt depending on the parent to get a feeling of being independent and mature beyond their years.