Cyclic delay diversity (CDD) is a simple transmit diversity technique for coded orthogonal frequency division multiplexing (OFDM) systems. However, high frequency selectivity caused by CDD degrades the performance of post-FFT estimation. This paper suggests a simple way of improving the performance of the integer frequency offset estimator in OFDM-based digital radio mondiale (DRM) system for FM broadcasting services. If compared to the conventional estimator, our proposed scheme has the advantage of being more robust against the frequency selective fading.