I think Antonio is asking about the use of extracellular glycogen, rather than the catabolism of intracellular glycogen stores.
As far as I know, E. coli can use short maltodextrins, which are imported via the LamB maltoporin. Using extracellular glycogen and other complex glucose polymers, however, would require the secretion of glycosidases.
Sorry, I did not explain myself too well. Usually the LamB maltoporin is used for importing maltose and maltooligosaccharides (up to 6 glucose monomers) into the periplasm, where they are further hydrolyzed by the periplasmic MalS alfa-amylase. There should be some leakage of MalS into the culture medium (to an extent that depends on exact culture conditions), and IF MalS can use glycogen as a substrate then yes, I would expect E. coli to exhibit detectable growth on glycogen and, perhaps, cyclodextrins.