Chelsea flexed their muscle at Stamford Bridge as they dismantled Everton 6-0 in a dominant performance.
Palmer wasted no time putting his name on the scoresheet. He opened the scoring with a delightful curling effort from distance, leaving Everton's goalkeeper Jordan Pickford with no chance.
He doubled the lead minutes later, pouncing on a rebound in the box with a close-range finish.
The England international wasn't done yet.
A catastrophic error by Pickford gifted him another opportunity just before halftime, and Palmer capitalized with a clinical finish to complete his hat-trick.
The first half also saw Nicolas Jackson extend Chelsea's lead to 4-0.
The second half witnessed a drop in intensity, a natural consequence of the hefty lead. However, Chelsea remained in control and added another goal through a penalty converted by Palmer.
The penalty decision arose from a foul on Noni Madueke by James Tarkowski.
A brief disagreement ensued between Jackson and Madueke regarding who would take the penalty, but captain Conor Gallagher intervened, ensuring Palmer stepped up and slotted the ball home.
Substitute Alfie Gilchrist capped off a dominant display for Chelsea with a goal in the 90th minute, leaving Everton with a mountain to climb in their fight for Premier League survival.
Cole Palmer was voted the man of the match after his outstanding performance against Everton in Tonight's match,
The English midfielder was at the heart of everything good for the Blues as he played for 80 minutes, registered 81% accurate passes and netted four goals that put Chelsea back in contention for European Football.