Glasner, 51, became available when he stepped down from Crystal Palace following the Conference League final victory over Rayo Vallecano in Leipzig — completing a trophy haul at Selhurst Park that included the FA Cup, Community Shield and Conference League across two and a half seasons.
The Austrian's candidacy is closely tied to Ralf Rangnick's own decision on his future. Milan owner Gerry Cardinale is pursuing the 68-year-old German as sporting director — a role from which he would oversee all technical decisions including the head coach appointment.
Rangnick will meet the Austrian Football Association on Monday to discuss his contract with the national team before any commitment to Milan can be formalised.
The connection between the two men is long-standing. Glasner joined Red Bull Salzburg in an assistant capacity under Rangnick's broader Red Bull network influence, and it was Rangnick who encouraged him to pursue head coaching. Matthias Jaissle, the other coach Rangnick initially preferred, has effectively been ruled out due to the compensation cost of releasing him from Al-Ahli in Saudi Arabia.
Glasner has also received a proposal from a Ligue 1 club — believed to be Lyon — which he has not been drawn to. Chelsea considered him earlier in the process but he was not at the top of their list.
If Rangnick joins Milan as sporting director and Glasner impresses in Tuesday's discussions, the combination of a coach and director who share a philosophy and a working relationship would give Cardinale and senior adviser Zlatan Ibrahimović the aligned direction they have been seeking since the comprehensive clearout that followed the final day of the Serie A season.
Milan last won the Scudetto in 2021-22 and have now missed the Champions League for two consecutive years.