Giroud is leaving for LAFC this summer.
Calabria said from Perth today: "Giroud is an important leader on and off the pitch... especially off it. He supported me a lot.
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"He will be missed a lot, but I'm happy to spend these few days together to celebrate his departure."
During the press conference, Calabria was also asked a question about the future of the Milan bench after Stefano Pioli's farewell: "(Paulo) Fonseca in Pioli's place? I don't know anything, we'll see..."