The process in which acetyl-CoA is transported from one side of a membrane to the other by means of some agent such as a transporter or pore. Acetyl-CoA is a derivative of coenzyme A in which the sulfhydryl group is acetylated; it is a metabolite derived from several pathways (e.g. glycolysis, fatty acid oxidation, amino-acid catabolism) and is further metabolized by the tricarboxylic acid cycle. It is a key intermediate in lipid and terpenoid biosynthesis.