A method for manufacturing a part in metal, ceramic or metal-ceramic composite, or a supported microstructure in metal, ceramic or metal-ceramic composite, characterized in that it comprises at least the following steps: i) depositing a suspension or a powder of at least one metal oxalate, optionally in a mixture with one or more compounds derived from partial decomposition of said metal oxalate, on at least part of a surface of a solid substrate, to form a layer of said metal oxalate optionally in a mixture with said compound(s), on the understanding that: ∗ the metal oxalate meets following formula: M 2 (C 2 O 4) v. n H 2 O where: - M is a metal cation in oxidation state +v or a mixture of metal cations of mean oxidation state +v, - v is an integer such that 1 ≤ v ≤ 4, - n is such that n ≥ 0, and ∗ the metal oxalate of the suspension or powder is in the form of particles and/or agglomerates of particles of mean size ranging from 10 nm to 100 μm; ii) locally heating at least one region of the layer of step i) by means of a laser beam operating at a wavelength ranging from 150 nm to 2000 nm, at sufficient power density for irreversibly converting the layer of the locally heated region to a metal, ceramic or metal-ceramic composite layer having a pattern corresponding to the heated region; iii) optionally removing the non-heated regions from the layer; and iv) optionally repeating the sequence of steps i) to ii) or i) to iii) one or more times to form one or more new metal, ceramic or metal-ceramic composite layers on at least part of a free surface of the solid substrate and/or on at least part of the preceding metal, ceramic or metal-ceramic composite layer. i) depositing a suspension or a powder of at least one metal oxalate, optionally in a mixture with one or more compounds derived from partial decomposition of said metal oxalate, on at least part of a surface of a solid substrate, to form a layer of said metal oxalate optionally in a mixture with said compound(s), on the understanding that: ∗ the metal oxalate meets following formula: M 2 (C 2 O 4) v. n H 2 O where: - M is a metal cation in oxidation state +v or a mixture of metal cations of mean oxidation state +v, - v is an integer such that 1 ≤ v ≤ 4, - n is such that n ≥ 0, and ∗ the metal oxalate of the suspension or powder is in the form of particles and/or agglomerates of particles of mean size ranging from 10 nm to 100 μm; ∗ the metal oxalate meets following formula: M 2 (C 2 O 4) v. n H 2 O where: - M is a metal cation in oxidation state +v or a mixture of metal cations of mean oxidation state +v, - v is an integer such that 1 ≤ v ≤ 4, - n is such that n ≥ 0, and - M is a metal cation in oxidation state +v or a mixture of metal cations of mean oxidation state +v, - v is an integer such that 1 ≤ v ≤ 4, - n is such that n ≥ 0, and ∗ the metal oxalate of the suspension or powder is in the form of particles and/or agglomerates of particles of mean size ranging from 10 nm to 100 μm; ii) locally heating at least one region of the layer of step i) by means of a laser beam operating at a wavelength ranging from 150 nm to 2000 nm, at sufficient power density for irreversibly converting the layer of the locally heated region to a metal, ceramic or metal-ceramic composite layer having a pattern corresponding to the heated region; iii) optionally removing the non-heated regions from the layer; and iv) optionally repeating the sequence of steps i) to ii) or i) to iii) one or more times to form one or more new metal, ceramic or metal-ceramic composite layers on at least part of a free surface of the solid substrate and/or on at least part of the preceding metal, ceramic or metal-ceramic composite layer.