As a coach, Agroppi managed several Italian clubs throughout his career: Pescara, Pisa, Perugia, Padova, Fiorentina, Como, and Ascoli. He coached Fiorentina on two occasions: he firstly coached the team during the 1985–86 season, leading the club to a fourth-place finish in Serie A, although he was subsequently banned from football for 4 months for his involvement in the Totonero 1986 match-fixing scandal during his spells with Perugia; he later returned to manage the team in the 1992–93 season, but with less success, as the club were relegated to Serie B at the end of the season.