Rangnick will lead the Red Devils for the remainder of the 2021-22 campaign before taking on a consultancy role at the club, where he will have a say on new signings.
According to Bild, the 63-year-old is determined to bring Haaland to Old Trafford, with the Norway international set to have a £63m release clause in his contract next summer.
Haidara is believed to have a £33m release clause in his current deal, and the Mali international could arrive as early as January, with Man United set to target a new midfielder at the start of 2022.
Chelsea are likely to resist Werner moving to Man United, but Dortmund are facing an uphill task to keep Haaland, who is said to have a close relationship with Rangnick following their time together at Red Bull Salzburg. body check tags ::