Rational quotient conjecture for finite-group actions

Let $G$ be a finite group. Rational-quotient conjecture. There exists a $k$-rational $G$-variety $X$ with a generically free $G$-action such that $X/G$ is $k$-rational. This is a nonlinear analogue of Noether’s problem, seeking rational models whose quotients are rational; the supplied text gives no resolution.