Parents experience lower quality of life due to the psychological, financial and social challenges of caring for an autistic child. This study aims to identify the independent demographic and social predictors of parents' quality of life, to allocate support to parents who truly need it. Al-Subtain Academy and Baghdad's National Center for Autism recruited 248 parents in a cross-sectional study from 3 January to 13 September 2024. Demographics, quality of life and social support were assessed using a structured self-administered questionnaire. Multiple linear regression models were significant for all domains except role functioning (p = 0.258). The explained variance ranged from 50.8% for health perception to 19.5% for physical functioning. Mothers reported lower health perception and physical functioning than fathers (p = 0.015, p < 0.001). Parents with chronic condition also reported lower health perception, mental health, social functioning and higher pain scores (p-values: <0.001, 0.029, 0.023, 0.014). In addition, parents of female children and those with comorbidities reported lower mental health (p-values: 0.018, 0.004). Marital satisfaction was positively associated with all domains except pain (negative association) and physical/role functioning (no association). In conclusion, mothers, younger parents, parents with chronic conditions or female children, or whose children have comorbidities should be prioritised during interventions that promote family functioning and social support.