Thus, functional products enriched with pomegranate extract (PG-E) have been reported to be useful for the treatment of certain diseases—such as diabetes mellitus, obesity, and cardiovascular and gastrointestinal diseases [1,6,7]—since their antioxidant potential gives protection from inflammation because it reduces the activity of cytokines, such as tumor necrosis factor-α (TNF-α) or interleukin-6 (IL-6) [8,9,10], as well as the levels of total cholesterol, low density lipoprotein (LDL), and lipid peroxidation [11]. Here, TNF is linked to obesity due to melanocortin 4 receptor deficiency.