In this paper, we investigate the decoding performance and corresponding decoding strategies for polar-coded orthogonal frequency division multiplexing (OFDM) systems operating under multipath fading channels. Multipath fading channels lead to frequency selective fading of the OFDM signal, resulting in varying levels of noise interference across different subcarriers after equalization. Furthermore, frequency selective fading induces burst errors in the equalized information, thereby significantly degrading the decoding performance. To address these issues, we propose two schemes in this paper to enhance the decoding performance of polar-coded OFDM systems. Firstly, we integrate the channel state information of each subcarrier into the generation of soft information for the polar decoder, in order to alleviate the degradation of decoding performance caused by variations in signal-to-noise ratio (SNR) across subcarriers during OFDM demodulation. Secondly, we introduce a packet interleaving design after the polar encoder to enhance the robustness of polar codes against burst errors. Simulation results demonstrate that the combined application of these two decoding strategies significantly outperforms the conventional scheme in terms of transmission performance over multipath fading channels.