The appointment comes one week after Napoli terminated the services of Genarro Gattuso after an underwhelming season.
Lille manager Christophe Galtier, who led them to their first Ligue 1 title in a decade, on Sunday announced that he will leave the club.
Gennaro Gattuso left Napoli after failing to secure a Champions League spot; Lanchini departed from Fiorentina after an underwhelming season.
AC Milan, Napoli and Juventus were involved in a three-way battle for the final two Champions League berths for Italian clubs.
Piotr Zielinski and Fabian Ruiz scored in the first half before Lozano Di Lorenzo and Insigne netted in the second half to seal the crucial three points for Napoli, Stefano Okaka s...
Lazio beat AC Milan 3-0 courtesy of a brace from Joaquin Correa and a late goal from Ciro Immobile.
Christian Eriksen scored only his second goal for Inter Milan to level the score and secure a point for the team.