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Context. Hot subdwarfs experienced strong mass loss on the Red Giant Branch(RGB) and are now hot and small He-burning objects. Aims. In this project weaim to perform a transit survey in all available light curves of hot subdwarfsfrom space-based telescopes (Kepler, K2, TESS, and CHEOPS), with ourcustom-made pipeline SHERLOCK, in order to determine the occurrence rate ofplanets around these stars, as a function of orbital period and planetaryradius. Methods. In this first paper, we perform injection-and-recovery testsof synthetic transits for a selection of representative Kepler, K2 and TESSlight curves, to determine which transiting bodies, in terms of object radiusand orbital period, we will be able to detect with our tools. We also providesuch estimates for CHEOPS data, which we analyze with the pycheops package.Results. Transiting objects with a radius $\lesssim$ 1.0 $R_{\Earth}$ can bedetected in most of Kepler, K2 and CHEOPS targets for the shortest orbitalperiods (1 d and below), reaching values as small as $\sim$0.3 $R_{\Earth}$ inthe best cases. Reaching sub-Earth-sized bodies is achieved only for thebrightest TESS targets, and the ones observed during a significant number ofsectors. We also give a series of representative results for farther and biggerplanets, for which the performances strongly depend on the target magnitude,the length and the quality of the data. Conclusions. The TESS sample willprovide the most important statistics for the global aim of measuring theplanet occurrence rate around hot subdwarfs. The Kepler, K2 and CHEOPS datawill allow us to search for planetary remnants, i.e. very close and small(possibly disintegrating) objects, which would have partly survived theengulfment in their red giant host.

A transit survey to search for planets around hot subdwarfs: I. methods and performance tests on light curves from Kepler, K2, TESS, and CHEOPS