Olivier Giroud on Friday, confirmed his Chelsea exit in an emotional farewell message to the club and its supporters.
The Blues have agreed a deal with AC Milan for Giroud.
And the France striker is already in Milan, where he will undergo medicals before signing a two-year deal.
Chelsea will get a transfer fee of around £2million for the 34-year-old.
Although AC Milan are yet to confirm the deal, Giroud wrote on social media: “To all the Blues, to my teammates, to all my coaches, to the whole club, a huge thank you for these special moments.
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“I’m starting a new journey with a light and happy heart.
“Our victories in the FA Cup, Europa League and Champions League have been magnificent. Love Oli G.”