Dredge the chicken pieces with the flour, and shake off the excess. Go ahead and throw away any remaining flour, we won't need it.
Heat olive oil in a large skillet on the stove and brown the chicken on all sides. There is no need to fully cook it, just sear it enough for the flour to stick and get a nice coating. Plop the chicken pieces into your slow cooker.
In a small mixing bowl, combine the orange juice concentrate, brown sugar, balsamic vinegar, salt, and ketchup; Taste. If you'd like the chicken to be a bit sweeter, add a touch more sugar.
Pour sauce mixture evenly over the chicken, and toss gingerly to coat.
Cover and cook on low for 6 hours or on high for 3. Serve over white or brown rice.