After scoring a hat-trick in the 3-1 away win against Wolves on Saturday, he hit back at rumours of interest from Manchester United.
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In an interview with the BBC, Palmer dismisses claims that he wants to leave the club.
"Everyone loves to talk sh**, right? I don't put much energy into it," Palmer said.
"You see things. But I feel like I come from a strong place anyway, so I don't care about it."
Chelsea are currently fifth in the Premier League, four points behind second-place Manchester City.