Glycerol dehydrogenase involved in the assimilation of glycerol. glycerol + NAD(+) = dihydroxyacetone + H(+) + NADH Binds 1 zinc ion per subunit. Polyol metabolism; glycerol fermentation; glycerone phosphate from glycerol (oxidative route): step 1/2. Repressed by glucose. Belongs to the iron-containing alcohol dehydrogenase family.