Parkinson’s disease (PD) is a neurological disorder that affects the central nervous system, resulting in the progressive impairment of movements, such as tremors, slow movements, muscle stiffness, imbalance, speech and writing disturbances, and deterioration of gait. Understanding the challenges associated with PD, including episodes of freezing, where individuals suddenly stop and struggle to resume rhythmic movements, has been a subject of study in the literature. The reliable detection of freezing before it occurs still lacks an effective mechanism, emphasizing the importance of understanding the dynamic changes in the brain related to both frozen moments and healthy functioning. Recent studies have focused on analyzing PD through techniques such as electroencephalography (EEG), which records the brain’s electrical activity and generates temporal series. However, this approach faces challenges, prompting the exploration of alternative techniques and interdisciplinary approaches to gather more comprehensive information about these signals. A promising approach is the use of Quantile Graphs (QG), which have shown potential in distinguishing patients with various medical conditions but have not yet been tested in PD patients. The QG method involves mapping temporal series into a network based on transition probabilities. In this context, this article aims to investigate the application of QG to quantify differences in brains affected by PD and pave the way for the application of this method to the disease. To achieve this initial goal, EEG data from 18 channels were collected from four PD patients, classifying three events of the patient during the Timed Up and Go (TUG) test (normal walking, Freezing of Gait, and voluntary stop). The findings confirmed the utility of QG in analyzing complex and nonlinear signals, such as those generated by EEG recordings in individuals with PD. Using QG, researchers can obtain valuable information about the intricate dynamics of brain activity related to PD. This approach holds promise for improving the understanding of PD and potentially aiding in the early detection and treatment of freezing episodes, ultimately enhancing the quality of life for individuals living with this challenging condition.