When red eye is the problem, the red eye tool works well, but when the flash has resulted in blue eyes, I have more of a problem corrected.
I usually wind up using the stamp tool to copy darker areas.
It has been suggested to me before to use the replace color adjustment, but this doesn't limit to the area of the eyes I have selected, but highlights areas all over the image.
Also if I use the wand tool and paint or bucket another color the effect is not smooth as with the red eye tool.
This is CS6
Here is one way.
Use your Rectangular Marquee Tool.
Draw a small square around both eyes.
Under "Adjust Color" select Replace Color.
Use the dropper to select the color in the dogs eyes.
Completely reduce the hue, saturation, and lightness until the color becomes black.
Google Pet eyes for more suggestions.