The BaBar collaboration measured the decay branching fraction $\text{Br}(B^0 \to D^{*-} \pi^+ \pi^- \pi^+) = (7.26 \pm 0.11\,\text{(stat.)} \pm 0.31\,\text{(syst.)}) \times 10^{-3}$ using a sample of $(470.9 \pm 2.8) \times 10^6~B\overline{\kern -0.2em B}$ pairs. This measurement will facilitate the measurement of $\text{Br}(B^0 \to D^{*-} \tau^+ \nu_\tau)$ with $\tau^+ \to \pi^+ \pi^- \pi^+ \overline{\nu}_\tau$ at hadronic colliders, improving the experimental precision on the normalization branching fraction $\text{Br}(B^0 \to D^{*-} \pi^+ \pi^- \pi^+)$.