Supplements and Thyroid Health: What to Know Penn State PRO Wellness If you are like a lot of people, you may have never heard of carnitine but this important nutrient is critical for our body's ability to optimally burn fat required for energy. Hypothyroidism: Symptoms, Causes and Support Strategies L carnitine supplementation for the management of fatigue in patients with hypothyroidism on levothyroxine treatment: a randomized, double blind, placebo controlled trial. Semantic Scholar L Carnitine: Does it help with weight loss?