The substantial personal, societal, and economic impacts of opioid addiction drive research investigating how opioid addiction affects the brain, and whether therapies attenuate addiction-related metrics of brain function. One useful approach to characterise the effects of opioid addiction on the brain is functional connectivity (FC). FC assesses the pairwise relationship of brain region function over time. This work is a systematic narrative review of studies investigating the effect of abstinence or interventions on FC in people who are dependent on heroin (HD) and healthy controls (HC). We found that HD typically showed weaker FC between three functional networks: the Executive Control Network, Default Mode Network, and the Salience Network. Abstinence and Transcranial Magnetic Stimulation (TMS) both attenuated differences in FC between HD and HC, often by increasing FC in HD. We critically assessed the clinical relevance of these results and the impact of study methods on the robustness of study results. We concluded with practical suggestions to improve the translational potential of neuromodulatory interventions (e.g., noninvasive brain stimulation) targeting the neural correlates of opioid addiction.HighlightsFunctional connectivity (FC) informs how neural resources are organised.FC is weaker in people with heroin dependence (HD) vs healthy controls (HC)Weaker FC is observed among resting, reward, cognitive, and attentional networks.Abstinence and brain stimulation strengthen FC and reduce craving/relapse in HD.FC may be a biomarker for developing therapies for HD.