Efficiently arranging Controlled-NOT (CNOT) gates in quantum circuits is a significant challenge in advancing quantum computing, especially in the domain of quantum entanglement problems. As quantum circuits grow in complexity with an expanding number of qubits, the proper placement of CNOT gates becomes increasingly crucial. This paper introduces a novel strategy for the optimal placement of CNOT gates specifically designed for generating GHZ (Greenberger-Home-Zeilinger) states. The proposed method exhibits scalability and adaptability, making it suitable for diverse circuit configurations. Our approach aims to maintain its efficacy regardless of circuit size or qubit count, addressing a crucial requirement in the field of quantum computing. The paper provides a comprehensive and detailed analysis of circuit depth. Our results show that the proposed method is an optimal solution for placing CNOT gates to generate GHZ states, particularly regarding circuit depth. The proposed approach also improves execution time and average fidelity of the quantum circuit.