In this article, we investigate the effectiveness of low-frequency acoustic non-evaluation (NDE) and localization of possible delaminations that occur in a multilayered carbon fiber reinforced plastic (CFRP) with transversal isotropy of the material. The experiments were carried out with a flat square panel, in which wave motions were excited by a disk omnidirectional piezoelectric actuator (PZT) placed in the center of the panel, and artificially created delaminations were located on the diagonals of the square, 22 cm away from the center. The study included the reconstruction of dispersion curves for antisymmetric (A0), symmetric (S0) Lamb waves and a horizontally polarized shear (SH0) wave for a panel of 2-mm thick with given engineering constants, the choice of excitation frequencies, a finite element analysis (FEA) of the propagation of A0 waves through the delamination and in its vicinity, and comparison with the experimental results. The possibility of registering the location of the delamination by changing the averaged out-of-plane velocities on the surface of the laminate inside the registration area of a laser vibrometer has been established.