This recent study demonstrates the beneficial effect of coconut oil on candida albicans – http://www.sciencedaily.com/releases/2012/09/120902222459.htm
Using coconut oil along with some essential oils for oil pulling can help to compound the beneficial effects. A drop each of oregano, eucalyptus, cinnamon, peppermint, and thyme essential oils with a teaspoon or two of virgin coconut oil can enhance the benefits of oil pulling for oral candida or thrush. Since most oils have antifungal activity, there are many other essential oils that can be used – rosemary, lemongrass, tea tree, sandalwood, and many, many more.
I recommend addressing Candida albicans locally with oils and systemically with with Dr. McCombs Candida Plan, in cases of thrush.