Jean-Philippe Mateta and Tyrick Mitchell won the match for Crystal Palace against West Ham United
In the 68th minute, Tyrick Mitchell gave Crystal Palace the lead.
"Everyone at the club feels that pressure because the situation isn't what we want. You have to face it up," West Ham manager Graham Potter said.
"We want to do better than we are and at the moment we're not. So we have to find a solution. We have to work, we have to stick together, and we have to find those answers," he added.
The away side Crystal Palace won a tightgame against West Ham United at London Stadium. The team won 2-1 in the Premier League on Saturday.
The next Premier League games for West Ham United are Everton (away) on 29 September, Arsenal (away) on 4 October and Brentford (home) on 20 October. Crystal Palace play Liverpool (home) on 27 September, Everton (away) on 5 October and AFC Bournemouth (home) on 18 October.
The match was even in terms of goals until Crystal Palace took the lead in the 37th minute through Jean-Philippe Mateta.
Crystal Palace are now in fifth place, while West Ham United are in 18th place.
Straight after the break, Jarrod Bowen made his mark and equalised for West Ham United.