  We study the Hardy-H\'enon parabolic equations on $\mathbb{R}^{N}$ ($N=2, 3$)
under the effect of an additive fractional Brownian noise with Hurst parameter
$H>\max\left(1/2, N/4\right).$ We show local existence and uniqueness of a mid
$L^{q}$-solution under suitable assumptions on $q$.
