The French defender, 21, has been in red-hot form for Champions League-chasing Monaco this season.
He is being tipped with a move to either Manchester United or Newcastle in the transfer window and has just over two years remaining on his contract.
Badiashile said: “We all know the competitiveness of the Premier League, it is a fantastic league that of course, is very interesting and we all love the games.
“I had the chance to play in the Champions League with Monaco and I think this club deserves this competition, it's a club that's used to playing in this competition and we want to get back on track.
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