The efficient placement of Virtual Network Functions (VNFs) has emerged as a critical challenge in cloud-edge computing environments due to the growing demand for low-latency and high-bandwidth services. The present study investigates diverse optimization techniques for Virtual Network Function (VNF) placement with the objective of reducing latency, optimizing resource allocation, and improving overall network performance. This article presents a comprehensive examination of cloud-edge computing, emphasizing the significance of virtual network function (VNF) placement optimization. We propose a Remora Optimization Algorithm for Virtual Network Function (ROAVNF) placement technique is a revolutionary way to improve the Service Function Chains (SFCs) sequential layout. The utilization of maximum computer resources by the ROAVNF method has been demonstrated to enhance performance in comparison to state-of-the-art methods. This has been evidenced through extensive simulation on edge network, which has been evaluated across five metrics, namely energy consumption, throughput, resource cost, execution time, and end-to-end delay. The comparative analysis has revealed that the energy consumption rate of the proposed algorithm surpasses that of GA, BGWO, and OCPS by 56.36%, 29.34%, and 11.78%, respectively.