Quantum versions of neural networks have become extremely important in applications from secure communication to faster artificial intelligence (AI) algorithms. One of the common objectives of quantum related technologies is to benefit from the fragile quantum resources the longest possible time. This study deals with exploring how the initial state preparation and playing with the network interaction parameters affect the quantumness of the open network in the time domain. A spin-star network model was chosen as a specific quantum network that has applications on quantum communication and quantum artificial intelligence. It has been found that the specific quantum interaction type as well as the specific initialisation schemes significantly affect the lifetimethe network remains in quantumness (quantum-to-classical transition).