Jordan Pickford in goal didn't face a single shot on target, the closest West Ham came to scoring a strike against the post from Vladimir Coufal after 61 minutes.
But it was Calvert-Lewin, with his only clear sight of goal, who provided the decisive contribution.
“I think the goal he scored today is one of a top striker," said Ancleotti.
“When a striker prepares their movement, moves at the right time with speed and is cold in front of the goalkeeper.
“It was a fantastic goal in this sense.
“Calvert-Lewin and Richarlison did fantastic work defensively, and I asked them to play vertical to attack at the back [of West Ham] and they did that a lot of the time.
“When West Ham conceded the goal they put a lot of players in front and players between the lines.
“We covered well the positions in between.
“The performance was good but all the times we won away, it was from this kind of performance."