The Food and Drug Administration (FDA) has approved these prescription appetite suppressants: Diethylpropion (Tenuate dospan). Liraglutide (Saxenda). Naltrexone-bupropion (Contrave). Phendimetrazine (Prelu-2). Phentermine (Pro-Fast). Phentermine/topiramate (Qsymia). Sep 25, 2020