  Thermal fluctuations of the color superconducting order parameter in dense
quark matter are investigated in terms of the phenomenological Ginzburg -
Landau approach. Our estimates show that fluctuations of the di-quark gap may
strongly affect some of thermodynamic quantities even far below and above the
critical temperature. If the critical temperature $T_c$ of the di-quark phase
transition were rather high ($\gsim (50\div 70)$ MeV) one could expect a
manifestation of fluctuations of the di-quark gap in the course of heavy ion
collisions (above $T_c$). For $T_c \sim 50 $MeV color superconducting
fluctuations may also affect an initial stage of the hybrid star evolution.
