In situ modification of glycans requires extraordinary molecular recognition of highly complex and subtly different carbohydrates, followed by reactions at precise locations on the substrate. We here report synthetic catalysts that under physiological conditions cleave a predetermined oligosaccharide block such as a branched trimannose or the entire N-glycan of a glycoprotein, while nontargeted glycoproteins stay intact. The method also allows α2-6-sialylated galactosides to be removed preferentially over the α2-3-linked ones from cell surfaces, highlighting the potential of these synthetic glycosidases for glycan editing.