“We left Old Trafford with a draw and we were disappointed we didn’t win the game and its the same sort of feeling today,” Cresswell said.
“If we had got the three points today it is massive and puts us in that fourth spot but we have got to keep going. Eight games to go and we will see where we finish.
“If someone had said, ‘With eight games to go you are going to be fighting for the Champions League’ of course you would snap their hands off. But we are in this position now and we want to try and make it.”
Chelsea would love to be in West Ham’s position, but they have only an outside chance of the Europa League to aim for after their exits from the Champions League and FA Cup.
At least they still showed the spirit to battle back twice in a hard-fought District Line derby to stay unbeaten in the league under caretaker manager Guus Hiddink.
“When you play in a big club in a difficult situation you must have some pride as well,” Hiddink said.
“You are champions from last year, still this title is yours and in this difficult situation, play with your heart and with desire.”
Chelsea (4-2-3-1): Courtois 6; Ivanovic 7, Cahill 7, Terry 7, Azpilicueta 7; Mikel 6, FABREGAS 8; Oscar 7 (Loftus-Cheek 84), Willian 6, Kenedy 5 (Pedro 46, 6); Remy 5 (Traore 62, 6).
Subs: Begovic, Baba, Pato, Matic.
Up next: Aston Villa (a), Premier League, Saturday, April 2
West Ham (4-3-3): Adrian 7; Antonio 6, Reid 5, Ogbonna 6, Cresswell 8; Noble 6, Kouyate 7, LANZINI 9 (Obiang 82); Valencia 5 (Emenike 75), Sakho 6 (Carroll 60, 7), Payet 7.
Subs: Randolph, Song, O’Brien, Oxford.
Up next: Crystal Palace (h), Premier League, Saturday, April 2
Referee: Robert Madley 6
Star player: Manuel Lanzini – dangerous every time he got on the ball.
Star shocker: Winston Reid – his error just before half-time let Chelsea back in.
Match rating: 4.