The transition metal dichalcogenide ZrTe₂ is a van der Waals (vdW) compound with non-trivial electronic structure. Recent experimental and theoretical works suggest that this material could host a nodal line state or a type-II Dirac node far above the Fermi level. In this work, we report the observation of a superconducting state with a transition temperature of approximately 2.74 K in ZrTe₂ induced by the intercalation of Fe atoms within the vdW gaps in the structure. Fe_xZrTe₂ single crystals were grown using an isothermal chemical vapor transport methodology and studied by means of electrical resistivity, and ab initio calculations were performed to analyze electronic structure evolution with Fe intercalation. Obtained temperature dependence of upper critical field data is consistent with a two-band model of superconductivity and calculation results indicate Fe_xZrTe₂ could be regarded as an enforced semimetal.