Rangnick has been appointed as interim manager until the end of this season.
Pogba is out of contract next summer and is keeping his options open.
According to The Athletic, the World Cup winner has received positive feedback on Rangnick through contacts in the game.
The 28-year-old believes Rangnick is capable of turning United's season around.
United are keen to extend Pogba's contract, but the Frenchman wants to see how this season plays out.
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