1. A coating composition for a drug-eluting medical device, comprising a water-insoluble drug and at least one compound selected from the group consisting of ester amino acid compounds that have an amino acid side chain hydrophobicity index of zero or less than zero, and their salts. 2. The coating composition of claim 1, wherein the amino acid is an α-amino acid. The coating composition according to claim 1 or 2, wherein the ester compound is an ester compound of at least one amino acid and a monohydric alcohol containing up to five carbon atoms, wherein at least one amino acid is selected from the group consisting of glycine, serine, asparagine, aspartic acid, glutamine, glutamic acid, arginine, threonine, histidine, lysine, tyrosine, tryptophan, amino acids obtained by replacing at least one of the hydrogen atoms of the amino group in the α-position in the above For small amino acids, an alkyl group containing up to five carbon atoms, a benzyl group or a benzoyl group, proline and amino acids obtained by replacing the hydrogen atom of the imino group of a proline with an alkyl group containing up to five carbon atoms, a benzyl group or a benzoyl group. 4. The coating composition according to claim 1, wherein the ester compound is represented by the following formula: wherein R represents a hydrogen atom, a guanidine propyl group, a carbamoylmethyl group, a carboxymethyl group, a methoxycarbonylmethyl group, an ethoxycarbonylmethyl group, a 2-carbamoylethyl group, a 2-carboxyethyl group1. Композиция покрытия для элюирующего лекарственное средство медицинского устройства, содержащая нерастворимое в воде лекарственное средство и по меньшей мере одно соединение, выбранное из группы, состоящей из сложноэфирных соединений аминокислот, которые имеют индекс гидрофобности боковой цепи аминокислоты, равный нулю или меньше нуля, а также их солей.2. Композиция покрытия по п. 1,в которой аминокислота является α-аминокислотой.3. Композиция покрытия по п. 1 или 2,в которой слож
