  We provide a combined explanation of the increasingly tantalizing $B$-meson
anomalies, both in $R_{K^{(*)}}$ and $R_{D^{(*)}}$, in the Pati-Salam model
with minimal matter content. This well-known model, based on the gauge group
$SU(4)_{LC} \times SU(2)_L \times SU(2)_R$, naturally contains a variety of
scalar leptoquarks with related and restricted couplings. In particular we show
that the seesaw-motivated scalar leptoquark within the representation
$(\overline{10}, 3, 1)$ and its right-handed parity partner $(\overline{10}, 1,
3)$ can solve both anomalies while making testable predictions for related
observables such as $B \to K\nu\nu$ and $B \to K \mu\tau$. The solution of the
$R_{K^{(*)}}$ anomaly alone can be related to a type-II seesaw neutrino mass
structure. Explaining also $R_{D^{(*)}}$ requires the existence of a light
right-handed neutrino, which constrains the UV structure of the model.
