Season the chicken with salt and pepper and brown in the olive oil on both sides, a process that will take about 15-20 minutes.
Add the wine. When it comes to a simmer add the tomatoes, anchovy, garlic and herbs. Let the contents of the pan simmer for approx. 10 more minutes, or until the chicken is fork tender and cooked through. Add the olives and heat through for about 5 more minutes. Serve.