Single-cell analysis is an emerging technology that can provide a mechanistic understanding of complex biological systems and cell heterogeneity. Any disruption of its activity can be monitored through interfacial bioelectrochemistry. A new glass nanopipette electrode laden with graphene quantum dots (20–50 nm) has been constructed for in vitro interfacial bioelectrochemical studies. A platinum or copper wire (0.0006″ dia) was placed inside the glass nanopipette with a tip size of 1 mm which was subsequently covered with graphene by dip coating. The glass nanopipette has been characterized by X-ray fluorescence as containing Si (96.82%), K (2.65%), and Fe (0.20%). The suitability of the electrode for studies involving oxidative stress produced by p-aminophenol (PAP) that results in membrane disruption and the frequency of molecular attachment of PAP to graphene has been relevant to the understanding of cell disruption. In this context, the electrochemical oxidation of PAP has been probed in vitro through differential pulse voltammetry (DPV) using the glass nanopipette electrode. The new electrode shows promise for examining electroactive neurotransmitter during its functioning in chronic diseases.