The objective of the present invention is to selectively extract cobalt from an acidic solution containing a high concentration of manganese. This cobalt extraction method extracts cobalt from an acidic solution containing manganese and cobalt by subjecting the acidic solution to solvent extraction by means of a valuable metal extraction agent comprising an amide derivative represented by general formula (I). The valuable metal extraction agent is represented by the general formula. In the formula: R1 and R2 each represent the same or different alkyl group; R3 represents a hydrogen atom or an alkyl group; and R4 represents a hydrogen atom or any given group aside from an amino group bonded to the α carbon as an amino acid. Preferably, the general formula has a glycine unit, a histidine unit, a lysine unit, an aspartic acid unit, or an N-methylglycine unit. Preferably, the pH of the acidic solution is 3.5-5.5 inclusive.