<p>The aim of this present paper is to study an optimal control problem for a quasistatic viscoelastic contact problem with long memory and multi-zones which can be formulated by a parabolic quasi-variational hemivariational inequality with history-dependent term. We first tackle the solvability of the abstract parabolic quasi-variational hemivariational inequality problem, which is regarded as difficult and typically abandoned by most researchers. Then based on this abstract result we establish the existence of weak solution to the contact problem. Finally, under the existence of weak solution we further show the solvability of optimal control problem by employing the stability of the abstract parabolic quasi-variational hemivariational inequality.</p>