Is Alleve safe to take for someone with Non Alcoholic Fatty Liver Disease?

Yes if no cirrhosis. Aleve(naproxen) and Motrin(ibuprofen) are primarily excreted by the kidneys and not metabolized in the liver. If a patient with NAFLD is asymptomatic, has normal liver function(bilirubin) and no evidence of cirrhosis Aleve and Motrin can be taken without toxicity. NSAIDS can occasionally elevate hepatic enzymes so it's probably wise to check LFT's occasionally if using NSAIDS regularly.