Pat the chicken thighs dry with paper towels, then season generously with salt and pepper.
Heat olive oil in a large heavy-bottomed pot over medium-high heat, then add the chicken thighs skin-side down.
4 pieces chicken thighs, bone-in and skin-on
Sear the chicken until the skin is golden brown and crispy, about 5-7 minutes, then flip and sear the other side for another 5 minutes.
Remove the chicken from the pot and set aside.
Add the sliced fennel and minced garlic to the same pot. Cook, stirring occasionally, until the fennel starts to soften and become fragrant, about 5 minutes.
4 pieces chicken thighs, bone-in and skin-on
Stir in the fennel seeds and dried thyme, cooking for another minute to release their aroma.
4 pieces chicken thighs, bone-in and skin-on
Return the chicken thighs to the pot, placing them on top of the fennel mixture.
4 pieces chicken thighs, bone-in and skin-on
Pour in the chicken broth and add the olives and artichoke hearts around the chicken.
4 pieces chicken thighs, bone-in and skin-on
Bring everything to a gentle simmer, then reduce the heat to low, cover, and cook for 35-40 minutes until the chicken is tender and the flavors meld.
Uncover the pot and increase the heat slightly to allow the sauce to reduce and thicken slightly, about 5-10 minutes.
Taste and adjust seasoning with more salt, pepper, or a splash of lemon juice if desired.
4 pieces chicken thighs, bone-in and skin-on
Serve the braised chicken thighs hot, spooning the fragrant sauce and vegetables over the meat for a comforting, rustic presentation.