  We discuss the recent paper by A. Dar\'os and L.K. Arruda (On the instability
of elliptic traveling wave solutions of the modified Camassa-Holm equation, J.
Diff. Equat., 266 (2019), 1946-1968). Our intention is to correct some
imperfections left by the authors and present the orbital stability of periodic
snoidal waves in the energy space.
