The 28-year-old has been out of favour at the Premier League club since Enzo Maresca was appointed at the start of last season.
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Chilwell spent the second half of the 2024-25 campaign on loan at Crystal Palace, where he only managed to make 11 appearances across all competitions.
Now, according to Fabrizio Romano, the England international is set to sign for sister club Strasbourg on a two-year contract.
Chilwell was a member of Chelsea’s infamous ‘bomb squad’ all summer, alongside the likes of Raheem Sterling who failed to secure a move.