My husband is an alcoholic and recently had a test done that said he had low liver enzymes what does this mean?

Need more info: Liver enzymes reflect the health of the liver, elevations means some ongoing inflammation, however normal enzymes do not necessarily mean no inflammation, but in general better normal than elevated. In your husband's case, one would need to know what tests were done, overall alcohol consumption, other psychosocial effects of alcohol consumption (e.g. legal, employment and family effects)