Summary: Tilting objects play a key role in the study of triangulated categories. A famous result due to Iyama and Takahashi asserts that the stable categories of graded maximal Cohen-Macaulay modules over quotient singularities have tilting objects. This paper proves a noncommutative generalization of Iyama and Takahashi’s theorem using noncommutative algebraic geometry. Namely, if \(S\) is a noetherian AS-regular Koszul algebra and \(G\) is a finite group acting on \(S\) such that \(S^G\) is a “Gorenstein isolated singularity”, then the stable category \(\underline{\operatorname{CM}}^{\mathbb{Z}}(S^G)\) of graded maximal Cohen-Macaulay modules has a tilting object. In particular, the category \(\underline{\operatorname{CM}}^{\mathbb{Z}}(S^G)\) is triangle equivalent to the derived category of a finite dimensional algebra.