  Motivated by recent observations of ergodicity breaking due to Hilbert space
fragmentation in 1D Fermi-Hubbard chains with a tilted potential [Scherg et
al., arXiv:2010.12965], we show that the same system also hosts quantum
many-body scars in a regime $U\approx \Delta \gg J$ at electronic filling
factor $\nu=1$. We numerically demonstrate that the scarring phenomenology in
this model is similar to other known realisations such as Rydberg atom chains,
including persistent dynamical revivals and ergodicity-breaking many-body
eigenstates. At the same time, we show that the mechanism of scarring in the
Fermi-Hubbard model is different from other examples in the literature: the
scars originate from a subgraph, representing a free spin-1 paramagnet, which
is weakly connected to the rest of the Hamiltonian's adjacency graph. Our work
demonstrates that correlated fermions in tilted optical lattices provide a
platform for understanding the interplay of many-body scarring and other forms
of ergodicity breaking, such as localisation and Hilbert space fragmentation.
