The paper presents a scalable protocol for transferring quantum states in a two-dimensional quantum network using a large-scale superconducting quantum circuit with 36 tunable qubits. The approach overcomes quantum chaotic behavior and imperfections in the device, achieving high-fidelity quantum state transfer for single-qubit excitation, two-qubit entangled states, and two excitations with many-body effects. The method involves optimizing the inter-qubit couplings through a Monte Carlo annealing process to maximize the fidelity of the transfer at a given time. The results demonstrate the feasibility of short-distance quantum communication in solid-state devices, even in the presence of parasitic cross-couplings and device defects. The protocol is validated through experiments on a 6x6 qubit network, achieving fidelities of 0.90 for single-excitation, 0.84 for Bell state, and 0.74 for two-excitation transfers. The study provides a fundamental understanding of quantum state transfer in 2D networks and highlights the importance of optimizing couplings to overcome quantum chaotic behavior.The paper presents a scalable protocol for transferring quantum states in a two-dimensional quantum network using a large-scale superconducting quantum circuit with 36 tunable qubits. The approach overcomes quantum chaotic behavior and imperfections in the device, achieving high-fidelity quantum state transfer for single-qubit excitation, two-qubit entangled states, and two excitations with many-body effects. The method involves optimizing the inter-qubit couplings through a Monte Carlo annealing process to maximize the fidelity of the transfer at a given time. The results demonstrate the feasibility of short-distance quantum communication in solid-state devices, even in the presence of parasitic cross-couplings and device defects. The protocol is validated through experiments on a 6x6 qubit network, achieving fidelities of 0.90 for single-excitation, 0.84 for Bell state, and 0.74 for two-excitation transfers. The study provides a fundamental understanding of quantum state transfer in 2D networks and highlights the importance of optimizing couplings to overcome quantum chaotic behavior.