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L-Lysine helps you have a healthy immune system and supports the growth and quality of hair, skin, and tissue. L-Lysine is also essential for the synthesis of carnitine, which is required for fat metabolism.

What it is saying is that L-Lysine helps in the metabolization (breakdown) of fats that you consume. The reason for this is because L-Lysine is essential for the synthesis of carnitine, which is required for the breakdown of fats you consume. Specifically, carnitine is required for the transport of long-chain fatty acids. So it's just saying that if you consume fats, which are present to some degree in every food, even if in very small amounts, then L-Lysine will help to break them down and help the body to do what it needs to do to process them effectively.