The League One side have agreed a one-month deal with the 20-year-old forward, who recently returned to Old Trafford after a half-season spell with Sheffield United
Cofie recently returned from a half-season loan spell with Sheffield United in which he made 16 league appearances and scored two goals.
The forward, who was born in Ghana but has represented England at youth international level, arrives at Meadow Lane in time to feature against Crewe Alexandra in Saturday's League One clash.
County are currently 10th in the English third tier, just five points short of the play-off places, but recently parted company with manager Keith Curle following a run of just two wins from 11 matches.
The 20-year-old has yet to make a senior appearance for Sir Alex Ferguson's side.