The catalyst for earning a point for United was the man named Edinson.
The interim manager of Manchester United wants Edinson Cavani to stay until the end of the season.
The player has been linked with two other teams in the January transfer window.
"He knows I will not let him go," said Rangnick.
After coming off the bench to score an equalising goal in United's draw at Newcastle last week, he then played a part in the 3-1 win over Burnley three days later.
"I told him from the very first day that he is a very important player for me," said Rangnick. He is the only one who can play both back to goal and face to goal.
I told him that I wanted him to stay until the end of the season because of his professionalism and work ethic. He knows that. He knows how much I respect him and how much I rate him.
We will definitely need him. I would like to have another one on top of that, but it's clear that Edi has to stay.
Anthony Martial is one of the attacking options looking for a move away from the club.
Sevilla had a loan offer for the France forward rejected by United because it only covered half of his wages, which are thought to be around £150,000 a week.
"He made it very clear that he wants to leave and I can empathise with his desire to leave and play more regularly somewhere else," he said.
It's a question of what he wants to do but it's also a question of which kind of clubs are interested in him and do they meet the demands of the club, so we have to wait and see.
The festive schedule continues for United, with a home game against Wolves on 3 January.
The Portugal captain scored his 800th career goal in the game against the Clarets, and he is doing everything he can to keep up with the heavy fixture list.
I've never seen a player at this age before, I think he's 36 right now. "Zlatan is a different kind of player, but he's a little bit older."
He should be able to play three games in eight days. It's not a problem if we need to rest him at one point, but it's even more important to have Edinson in the squad.
