The 23-year-old is contracted to the Stamford Bridge club until 2030 at the earliest.
Per football.london, Badiashile has no intention of being sold to a club where he would earn less money.
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He is the subject of interest from AC Milan in Italy, but Badiashile may believe in his ability to play regularly for the Blues.
He may feel that he can get into the team and stay there when he is fully fit.
The Blues are also likely to lose veteran center half Thiago Silva in the summer.