"We have a great opportunity," said Ancelotti after a first league win at home since 19 December. "I don't know for how long it will be, maybe for one day, or two or three, but we would like to touch the position, so we have to put all our fight into the game on Thursday.
"We have to try to see how we feel if we are there."
Calvert-Lewin said it was a result that underlined the squad's European ambitions.
He said: "You have to believe, absolutely. Our aspiration has to be top four until it's not possible. Nights like tonight - that consistency - is what will get us up there.
"Everyone wants to play Champions League football. It's where we belong. It's important I keep scoring goals, Richarlison keeps scoring, we defend well and we'll see where that takes us."