Aims. The ‘pink, pulseless hand’ is often used to describe the clinical situation in which a child with a supracondylar fracture of the humerus has normal distal perfusion in the absence of a palpable peripheral pulse. The management guidelines are based on the assessment of perfusion, which is difficult to undertake and poorly evaluated objectively. The aim of this study was to review the available literature in order to explore the techniques available for the preoperative clinical assessment of perfusion in these patients and to evaluate the clinical implications. Methods. A systematic literature review was conducted using the Preferred Reporting Items for Systematic Reviews and Meta-Analyses guidelines and registered prospectively with the International Prospective Register of Systematic Reviews. Databases were explored in June 2022 with the search terms (pulseless OR dysvascular OR ischaemic OR perfused OR vascular injury) AND supracondylar AND (fracture OR fractures). Results. A total of 573 papers were identified as being suitable for further study, and 25 met the inclusion criteria for detailed analysis. These studies included a total of 504 patients with a perfused, pulseless limb associated with a supracondylar humeral fracture. Clinical examination included skin colour (23 studies (92%)), temperature (16 studies (64%)), and capillary refill time (13 studies (52%)). Other investigations included peripheral oxygen saturation (SaO2) (six studies (24%)), ultrasound (US) (14 (56%)), and CT angiogram (two studies (8.0%)). The parameters of ‘normal perfusion’ were often not objectively defined. The time to surgery ranged from 1.5 to 12 hours. A total of 412 patients (82%) were definitively treated with closed or open reduction and fixation, and 92 (18%) required vascular intervention, ranging from simple release of entrapped vessels to vascular grafts. Conclusion. The description of the vascular assessment of the patient with a supracondylar humeral fracture and a pulseless limb in the literature is variable, with few objective criteria being used to define perfusion. The evidence base for decision-making is limited, and further research is required. We were able, however, to make some recommendations about objective criteria for the assessment of these patients, and we suggest that these are performed frequently to allow the detection of any deterioration of perfusion. Cite this article: Bone Joint J 2023;105-B(3):231–238