Pat the chicken pieces dry using paper towels, then season both sides generously with salt, pepper, and Italian seasoning. In a large Dutch oven or soup pot, heat the olive oil over medium-high heat until shimmering. Carefully add the seasoned chicken to the hot oil, searing for about 3–4 minutes on each side to lock in flavor. It’s fine if the interior remains slightly undercooked at this stage—it will finish cooking in the soup for maximum tenderness. Remove the chicken from the pot, set aside, and allow it to rest for 10 minutes. Then, dice into bite-sized chunks.