Season the chicken breast pieces with sea salt, black pepper, and smoked paprika.
Heat the olive oil in a wide skillet over medium-high heat and brown the chicken for 2-3 minutes per side until golden, then remove and set aside.
Add the diced onion, bell pepper, and zucchini to the same pan, sautéing for 4-5 minutes until the vegetables are tender-crisp.
Stir in the minced garlic and Bomba rice, toasting the grains for 1 minute until they are well-coated in the pan drippings.
Crumble the saffron threads into the chicken broth and pour the liquid into the pan, stirring once to distribute the rice and vegetables evenly.
Place the browned chicken back into the pan on top of the rice, reduce heat to low, cover, and simmer for 15-18 minutes without stirring.
Scatter the frozen peas over the top during the last 2 minutes of cooking to steam through.
Remove from heat once the liquid is fully absorbed and the rice is tender, then garnish with fresh parsley and a squeeze of lemon before serving.