You can 100% apply image classification to a pan-sharpened image. There is plenty of peer-reviewed literature supporting this, including my own research. Arhanghelul makes excellent points on OBIA and taking advantage of the textural and spectral information in the data, in addition to the variety of non-parametric classifiers that are capable of extracting meaningful information from fused datasets. The final point from pasfans01 settles it entirely; if the accuracy assessment validates the results, then the approach is sound.