Reactive oxygen species (ROS) and reactive nitrogen species (RNS) are important regulatory factors for cell growth and survival. Most chemotherapeutic drugs increase the intracellular concentration of ROS/RNS, and many drugs can alter the redox homeostasis of cancer cells. The study of intracellular ROS levels may represent one possibility to research the effects of drugs in cancer cells. ROS that released from cells during apoptosis play a crucial role in the development of cancer and neurodegenerative diseases. Nowadays, there is the problem of developing methods for treating cancer tumors, thus, quick evaluation of the anticancer drugs efficiency is the priority. The ROS determination using nanosensors in single cells has gained increasing attention. However, traditional fluorescent dyes have a number of disadvantages. These dyes are known to be intrinsically cytotoxic and thus can significantly alter cellular metabolism. Here, we have developed an electrochemical method for determining the ROS inside the single cells. Using this method, it is possible to evaluate the effect of the developed drugs on the cells. We evaluated the effect of ASGP-R (Asialoglycoprotein receptor) - specific carrier equipped by docetaxel on cancer cell lines with (HepG2) and without (PC-3) ASGP receptors. Our data obtained by using carbon-filled quartz nanopipettes with platinum tips showed a ROS increase using conjugates compared with native drugs. In the future, this method may allow evaluating the effect of drugs in vitro and to help validate drug candidates for preclinical evaluation. The biological experiments with cell cultures were supported by the Ministry of Education and Science of the Russian Federation in the framework of increase Competitiveness Program of NUST “MISIS”, implemented by a governmental decree dated March 16, 2013, No. 211. Nanoelectrode measurements were supported by the Russian Science Foundation Grant 20-14-00312.