  We discuss implications on the $H_0$ tension due to preferred-frame effects
in the context of Ho\v{r}ava-Lifshitz gravity. By using a combination of
low-redshift data (Sne1a, elliptical and lenticular galaxies, GRB's, and
quasars) we study the $H_0$ tension and its appearance as a preferred-frame
effect, as well as present new constraints on the model parameter $\lambda$.
Moreover, from the structure of the Friedmann equations, we argue that up to
$38\%$ of the Hubble tension can be explained by Lorentz-violating effects in a
Ho\v{r}ava-Lifshitz scenario.
