Police have been investigating social media "threats" made towards Pickford.
"He is going to play on Sunday," said Ancelotti.
"I don't take into consideration to take him out. He trained well and is focused on the game."
At a news conference on Friday, the Italian added that was unsure if Pickford, 26, had apologised directly to 29-year-old Netherlands centre-back Van Dijk.
"I know that he was in contact with [Liverpool captain Jordan] Henderson. He tried to be in contact with him but I don't know if he was able to be," said Ancelotti.