In this paper, the asymptotic performance of a precoded bit-interleaved coded modulation with multiple-input multiple-output (BICM-MIMO) system in a block-fading environment is first evaluated. Specifically, the asymptotic pairwise error probability is derived for imperfect channel state information (CSI) and of the minimum mean squared-error (MMSE) detector. The analysis is then used to evaluate the impact of two different training schemes. It is shown that inserting training symbols before precoder is a better option than multiplexing training symbols with data symbols after the precoder. The theoretical result is verified by simulation.