  Graphene deposited on top of a Copper(111) substrate may develop a Y-shaped
Kekul\'e bond texture (Kekul\'e-Y), locking the momentum of its Dirac fermions
with its valley degree of freedom. As a consequence, the valley degeneracy of
its band structure is broken, generating an energy dispersion with two nested
Dirac cones with different Fermi velocities. In this work, we investigate the
dynamics of electronic wave packets in the Kekul\'e-Y superlattice. We show
that, as a result of the valley-momentum coupling, a valley-driven oscillatory
motion of the wave packets ({\it Zitterbewegung}) could appear, but with a
smaller frequency than the {\it Zitterbewegung} effect found pristine graphene.
This makes Kekul\'e-Y graphene a compelling candidate for experimental
observation of {\it Zitterbewegung} phenomenon in a two-dimensional system.
