The invention concerns a gem-difluorinated C-glycopeptide compound of formula (I) in which N is an integer between 1 and 5, R4=H, AA1, AA1-AA2 and R5=OH, AA1, AA1, AA2, with AA1, and AA2 are independents groups and represent amino acids with a non-functionalized side chain and R1, R2, R3 are independent groups and one of them is equal to formula (II), in which n is an integer between 3 and 4, Y, Y′ are independent groups in which Y, Y′=H, OR, N3, NR′R″, SR″′, where R=H, benzyl, trimethylsilyl, tert-butyldimethylsilyl, tert-butyldiphenylsilyl, acetate group, R′, R″′═H, alkyl, allyl, benzyl, tosylate group, C(═O)-alkyl, C(═O)−Bn, R″′=H, alkyl, acetate group, R6 is notably a group H, CH3, CH2OH, CH2-Glycoside group, CH2-OGP in which GP is a protector group such as an alkyl, benzyl, trimethylsilyl, tert-butyldimethylsilyl, tertbutyldiphenylsilyl, acetate group,; and R7=OH, OGP′, NH2, N3, NHGP′, NGP′GP″ in which GP′ and GP″ is or not a protector group such as an alkyl, benzyl, trimethylsilyl, tertbutyldimethylsilyl, tert-butyldiphenylsilyl, acetate group, and RB is a hydrogen atom H or a free or protected alcohol function. It applies notably to preservation of biological materials and to cryosurgery.