Answer
Yes, Fabio Grosso coached a Ligue 1 club. In 2017, he was appointed as the manager of Troyes AC, a French club based in the city of Troyes. Grosso's tenure at Troyes lasted for one season, during which he led the team to a 19th-place finish in the Ligue 1 standings, narrowly avoiding relegation to Ligue 2.