  For a singular Riemannian foliation $\mathcal{F}$ on a Riemannian manifold, a
curve is called horizontal if it meets the leaves of $\mathcal{F}$
perpendicularly. For a singular Riemannian foliation $\mathcal{F}$ on a unit
sphere $\mathbb{S}^{n}$, we show that if $\mathcal{F}$ is a polar foliation or
if $\mathcal{F}$ is given by the orbits of an infinitesimally polar action,
then the horizontal diameter of $\mathbb{S}^{n}$ is $\pi$, i.e., any two points
in $\mathbb{S}^{n}$ can be connected by a horizontal curve of length $\leq\pi$.
