We report observation of strong phonon-pair oscillations in CdZnTe multiple quantum wells and cubic ZnTe͑001͒. Using femtosecond laser pulses with photon energies far below the bandgap, the coherent phononpair oscillations are generated via the impulsive stimulated Raman scattering of the second order. Polarizationand phase-sensitive measurements allow us to resolve both relative Raman polarizabilities of various symmetry modes and their initial phases, simultaneously.