Add the halved baby potatoes to the bottom of the slow cooker in an even layer.
Place the chicken thighs on top of the potatoes.
In a mixing bowl, combine the minced garlic, lemon juice, lemon zest, green olives, chicken broth, olive oil, oregano, salt, and black pepper.
Pour the mixture evenly over the chicken and potatoes.
Cover and cook on low for 6 to 8 hours, until the chicken is tender and the potatoes are soft.
Sprinkle the chopped parsley over the dish before serving.