  Variable stars in the compact elliptical galaxy M32 are identified, using
three epochs of photometry from the Spitzer Space Telescope at 3.6 and 4.5
$\mu$m, separated by 32 to 381 days. We present a high-fidelity catalogue of
sources detected in multiple epochs at both 3.6 and 4.5 $\mu$m, which we
analysed for stellar variability using a joint probability error-weighted flux
difference. Of these, 83 stars are identified as candidate large-amplitude,
long-period variables, with 28 considered high-confidence variables. The
majority of the variable stars are classified as asymptotic giant branch star
candidates using colour-magnitude diagrams. We find no evidence supporting a
younger, infrared-bright stellar population in our M32 field.
