  Observing the production of the Higgs particle in the $\gamma$-$\gamma$ mode
of a linear $e^+e^-$ collider allows for the measurement of the $H\gamma\gamma$
coupling. We point out that for the intermediate Higgs mass range this
measurement is considerably more challenging than previously believed. The $b
\bar b$ signature receives a large background from the production of heavy
quark pairs by resolved photons. We quantify the experimental requirements
needed to make a meaningful measurement in the presence of this background.
