Drain the anchovies and add them to the garlic. Chop together until you have a well blended paste.
Add the rosemary and cut the rosemary into the anchovy/garlic paste. Set aside.
Season your flour with salt and pepper.
Dust the chicken pieces with the seasoned flour.
Heat the canola oil in a heavy bottomed saute pan until hot.
Add the chicken pieces and brown on both sides.
Remove the chicken from the pan and the pan from the heat.
Carefully drain the oil from the pan and clean the pan with a paper towel until it is free from any cooked on residue.
Return the pan to the heat, add the olive oil and heat over med. high heat.
When hot add the garlic/anchovy/rosemary mix to the pan. Quickly swirl it around.
When you start to smell the garlic add the chicken and its juices to the pan. Add the balsamic vinegar and the water. Stir to make sure all is combined.
Lower the heat to low, cover the pan and let cook for 15 minutes.
Turn the chicken, cover and let cook for 15 minutes. Repeat this two more times. If you need to add a little water to the pan to keep it from drying out that is OK.
Serve the chicken over rice or potatoes with some of the pan juices.