The German tactician has explained to the Portuguese skipper that the interest of the team and winning are more important than the ambition of the player.
Ronaldo, who missed the last two games because of a niggling injury, took an age to walk off the pitch, scowling at United's coaching staff and throwing his jacket down in anger, before continuing his debate from his seat.
Rangnick said, "His reaction was 'why me?'... I said to him I have to take a decision in the interests of the club because we had a situation at Villa where we were 2-0 up and drew 2-2 and I was angry at myself for not switching to a back five.
"I decided to switch to a back five with Harry Maguire. He was not happy, he is a goalscorer and wanted to stay on and score a goal himself. But it was important to be compact.
"I said to him I understand, but maybe in a couple of years when you are a head coach you will take the same decision.
"I didn't expect him to hug me... but I have no issue with him whatsoever."
Speaking with reporters after the game, Rangnick explained, “For the future, it’s just important for any player that we win games, this is first.
"Having players like Marcus Rashford and Anthony Martial on the bench, why should I not make use of that? That’s why I would always do it again in a situation like that.”