The German striker scored for the Blues once again on Saturday night to give them the lead against the Toffees in their 2-2 draw.
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After netting from the spot, Havertz looked towards Pickford and wagged his fingers with his hands to his ears, as well as sticking his tongue out.
However speaking after the game, Potter was not impressed with his forward's celebration.
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He said: "When players score, they have something like an out-of-body experience. I didn't score many myself so I wouldn't know.
"You should enjoy the celebration, I don't think you need to involve the opponent. That would be my perspective."
Havertz's goal gave Chelsea the lead for the second time on the night, and it was his third in as many games.
Joao Felix put the Blues in front with a neat finish off the post, before Abdoulaye Doucoure's header sneaked over the line for Everton.
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James Tarkowski's foul on Reece James inside the area allowed Havertz to score his penalty in the latter stages.
However, their hard work was undone in the 89th minute when Ellis Simms netted his first ever goal for Everton to secure a point.
The 22-year-old was able to outpace Kalidou Koulibaly and sneak the ball under Kepa Arrizabalaga.
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The result could prove to be huge for the Toffees, who are now two points clear of the relegation zone.
It is one of frustration for Chelsea though, who missed the chance to win four games on the bounce for the first time since October.
They remain 10th in the Premier League, with Champions League qualification continuing to slip away from their grasp.