The injury has limited Palmer to just four appearances across all competitions this season, as he continues to work towards a full recovery.
He was forced to leave the game against West Ham early, but was then brought back into the lineup for the match against Manchester United, where Chelsea suffered a 2-1 defeat.
Palmer is expected to be out of action until November, which means he will likely miss several upcoming games, including matches against Nottingham Forest, Ajax, Sunderland, and Wolves.
As a result, England manager Thomas Tuchel has chosen not to select Palmer for the latest England squad, allowing him to focus on his recovery and return to full fitness.