On De Gea, he added: “We have to develop the team into a clean sheet team and that was another one today but still David de Gea was outstanding again for me today.
“I would have wanted him to have less saves in total, I think we had four or five shots on goal but again we can still improve even in that area.”
Rangnick also feels United still require improvement despite returning to winning ways.
“I think we showed a reaction after the Wolves game, that is what everyone expected from us,” said the 63-year-old.
“We knew it would be very difficult against Villa. In the first half I thought we did well. It could have been 3-2 or 4-3 to us at half time.