We construct moduli spaces of objects in an abelian category satisfying some finiteness hypotheses. Our approach is based on the work of Artin and Zhang [Algebr. Represent. Theory 4 (2001), 305–394] and the intrinsic construction of moduli spaces for stacks developed by Alper, Halpern-Leistner and Heinloth [Invent. Math. 234 (2023), 949–1038].