Epigenetic abnormality is one of the hallmarks of glioblastoma cancer cells. Histone deacetylase (HDAC) modification has a crucial role in epigenetic abnormality, which results in the initiation and progression of glioblastoma cancer cells. The selective HDAC inhibitors are well-known epigenetic regulators and promising anti-cancer agents that target specific HDAC enzymes and inhibit the proliferation of many cancer cells. Selective HDAC inhibitors isoform provides a high efficacy as chemotherapy in inhibiting cancer confirmation compared to non-selective HDAC inhibitors. Additionally, selective HDAC inhibitors suppress Class -I HDAC1, HDAC2, HDAC3, and HDAC11. HDAC class I inhibitors induce apoptosis, differentiation, autophagic death cells, and reactive oxygen species (ROS)- induced cell death, inhibit cell migration, invasion, and angiogenesis in cancer cells, while the normal cells showed more resistance to HDAC class I inhibitors. Mocetinostat (MGCD0103), a benzamide histone deacetylase, is a potent anti-cancer therapy for the treatment of several cancer cell lines and induction of autophagy. It has been approved by The Food and Drug Administration (FDA) for the treatment of Hodgkin lymphoma (HL) cell lines. MGCD0103 is a synthesized and selective HDAC inhibitor that has vigorous inhibitory activity against Class-I and IV HDAC. MGCD0103 is well tolerated and has favorable pharmacokinetic properties, pharmacodynamic profile, and fast absorption within 1 hour after oral administration, long elimination half-life, and sustained HDAC inhibition. Therefore, MGCD0103 is expected to be a promising anti-cancer drug for treating several types of human cancer cells.