We are in the fight, the next game might be the most difficult of the season, but it was important to stay there," Ancelotti said.
"Nothing is impossible, it is really difficult, really complicated, we are playing maybe the best team in Europe. But we have to try.
"If we qualify for Europe, it will be a fantastic season, if we don't qualify it will be a good season."
Richarlison's 48th-minute header proved the difference on the night, but Everton were no doubt helped by the noise from the stands.
Ancelotti himself pointed to the fact that of their six home league wins, three came with supporters in the stands after victories over Arsenal and Chelsea in December during the temporary lift in coronavirus restrictions.
"I hope the new signing in the transfer market will be the supporters in the stadium," Ancelotti added. "They will make a huge difference next season.
"In the history of the club, our supporters make the difference... it was nice to see them and a totally different atmosphere."
Who's he to be telling us if we've had a good season or not?
That's like going to a concert and the band telling the audience they've just been entertained, regardless how poor they were. Personally I think our season has been hugely disappointing, with woeful football mostly on show.