Season chicken with salt and pepper. On a plate, combine arrowroot and almond flour. Dredge chicken in flour mixture; set aside.
In a large skillet on medium, heat oil and ghee. Add chicken and cook until golden brown on underside, about 4 minutes. Flip and brown on other side until cooked through, about 3 minutes. Transfer to a plate.
To skillet, add broth and lemon juice. Increase heat to medium-high; bring to a boil, scraping skillet with a wooden spoon to dislodge any bits on the bottom of the pan. Cook to reduce sauce slightly.
Add coconut cream and mustard powder. Bring to a simmer and add capers. Return chicken to skillet and reduce heat to a simmer. Cook to heat chicken through, turning to coat in the sauce, about 2 minutes. Sprinkle with parsley.