Tottenham moved to fourth place, level on points with Aston Villa, which hosted Wolves later.
Palmer's brace at Stamford Bridge could help Chelsea only draw 2-2 with 10-man Burnley.
Chelsea was wasteful in the first half and had a goal ruled out after 20 minutes.
The Blues took the lead from the spot when Palmer scored with a Panenka kick, chipping the ball down the middle.
In a spectacular game that was goalless at the break, Sheffield United and Fulham drew 3-3 after the host blew a 3-1 lead.
Persons:
Son Heung, Tahith Chong, Issa Kabore, Timo Werner, Kabore, PALMER’S PANENKA, Cole Palmer, Palmer, Mykhailo Mudryk, Vincent Kompany fuming, Kompany, Lorenz Assignon, Josh Cullen volleyed, Raheem Sterling’s backheel, Dara O’Shea, Djordje Petrovic, James ’, Harvey Barnes, Lukasz Fabianski, “, ” Barnes, “ It’s, I’ve, Alexander Isak, Mohammed Kudus, Michail Antonio, Jarrod Bowen, Crystal
Organizations:
Tottenham, Luton, English Premier League, Aston Villa, Spurs, South, Wolves, Manchester City, Arsenal, Liverpool, Brighton, LETHARGIC SPURS Tottenham, PALMER’S PANENKA Chelsea, Premier League, Stamford, Chelsea, Burnley, Blues, Newcastle, West, Sheffield United, Fulham, Nottingham Forest
Locations:
South Korea, West Ham, St, London, Newcastle