We construct a theoretical model to predict the number of orphan afterglows (OA) from gamma-ray bursts (GRBs) triggered by primordial metal-free (Pop III) stars expected to be observed by the Gaia mission. In particular, we consider primordial metal-
free stars that were affected by radiation from other stars (Pop III.2) as a possible target. We use a semi-analytical approach that includes all relevant feedback effects to construct cosmic star formation history and its connection with the cumulative number of GRBs. The OA events are generated using the Monte Carlo method, and realistic simulations of Gaias scanning law are performed to derive the observation probability expectation. We show that Gaia can observe up to 2.28 $pm$ 0.88 off-axis afterglows and 2.78 $pm$ 1.41 on-axis during the five-year nominal mission. This implies that a nonnegligible percentage of afterglows that may be observed by Gaia ($sim 10%$) could have Pop III stars as progenitors.
