Rangnick says he spoke to Paul Pogba this week but expects the France midfielder to be a further four weeks away from a return to action.
The 63-year-old said he held a phone conversation on Tuesday with Pogba, who is undergoing warm-weather recovery work in Dubai following a thigh injury suffered on international duty last month.
Rangnick said: “He is better to come back today, and then we will get to know each other in person on Sunday. We had a telephone call for about 10 or 15 minutes.
“He told me he is getting better but obviously he is still not fully fit, so it will take another couple of weeks until he is fit for training again and then of course he has been idle for quite some time, so I guess it will take another couple of weeks to get match-fit.
“In the first instance it’s important he gets fully fit in order to be able to train with the rest of the group and then we have to develop him physically and tactically to be fit to play in the Premier League.”
Paul Pogba’s contract at Manchester United is due to expire next summer