  In this note we show that a mutation theory of species with potential can be
defined so that a certain class of skew-symmetrizable integer matrices have a
species realization admitting a non-degenerate potential. This gives a partial
affirmative answer to a question raised by Jan Geuenich and Daniel
Labardini-Fragoso. We also provide an example of a class of skew-symmetrizable
$4 \times 4$ integer matrices, which are not globally unfoldable nor strongly
primitive, and that have a species realization admitting a non-degenerate
potential.
