  Fix $d\in\{1,2\}$, we consider a $d$-dimensional stochastic wave equation
driven by a Gaussian noise, which is temporally white and colored in space such
that the spatial correlation function is integrable and satisfies Dalang's
condition. In this setting, we provide quantitative central limit theorems for
the spatial average of the solution over a Euclidean ball, as the radius of the
ball diverges to infinity. We also establish functional central limit theorems.
A fundamental ingredient in our analysis is the pointwise $L^p$-estimate for
the Malliavin derivative of the solution, which is of independent interest.
This paper is another addendum to the recent research line of averaging
stochastic partial differential equations.
