Eddy current testing is employed as an efficient inspection technique across various industries, such as aerospace and power generation. This method utilizes the principle of electromagnetic induction to generate circulating currents—known as eddy currents—within conductive materials. It stands as the sole viable option in certain industrial sectors, such as power plant and aerospace applications, where no other inspection method or assessment process can offer comparable capabilities for achieving the same objectives. While many eddy current tests utilize standard, commercially available probes, specific conditions requiring particular dimensions and frequencies for the effective detection of defects and discontinuities necessitate the design and fabrication of custom probes. The probe employed significantly influences the acquired signals and, consequently, the detection of flaws. This paper focuses on optimizing coil design for eddy current non-destructive testing, specifically analyzing parameters that affect coil performance—such as diameter and the number of turns in both radial and longitudinal directions. To perform the necessary analyses, a code was developed in the MATLAB environment to ensure the accurate calculation of inductance; validation was subsequently conducted using a reliable reference through FEM simulation in COMSOL software, which analyzes the magnetic field distribution and calculates the coil's impedance and inductance. The study demonstrates a significant correlation between increasing the number of coil layers in the vertical direction—as well as the number of turns—and an increase in impedance. Consequently, and as expected, this leads to improved signal performance and detection capability. To analyze and demonstrate the performance of the proposed method, coil impedance plots for the inspection of a pipe containing a 100-micrometer-diameter hole were simulated and the results are presented. This research introduces efficient and reliable tools for calculating and simulating coil designs—based on the Finite Element Method (FEM) and algebraic solutions—that can be utilized for the optimal design of eddy-current coils in industrial applications