In this paper, we consider discontinuous sub-elliptic systems with VMO-coefficients for the controllable growth case of p≥2 in the Heisenberg group. Based on a generalization of the technique of A-harmonic approximation with the superquadratic growth case, a partial Hölder continuity result for weak solutions of discontinuous sub-elliptic systems with VMO-coefficients is established. In particular, the primary model covered by our analysis is the non-degenerate p-sub-Laplace system involving super-quadratic controllable growth terms.