Measure out and prepare all ingredients by mincing garlic, zesting and juicing the lemon, and mixing the herbs with salt and pepper.
Place all the chicken pieces into the Crockpot, spreading them evenly so they sit flat.
Pour in the chicken broth and drizzle olive oil over the chicken, then sprinkle the minced garlic, lemon zest, lemon juice, oregano, thyme, salt, and pepper evenly over everything.
Cover the Crockpot with its lid and set it to cook on low heat for about 6 hours, until the chicken is tender and easily pulls apart with a fork.
Once cooked, remove the chicken and transfer it to a serving dish, leaving the flavorful sauce behind in the Crockpot.
If desired, you can thicken the sauce slightly by simmering it on high for a few minutes or stirring in a bit of cornstarch slurry.
Pour the sauce over the chicken and garnish with additional lemon slices or fresh herbs if you like.
Serve the Greek chicken hot, accompanied by sides like rice or roasted vegetables for a complete meal.