Nancy started the better team and Massadio Haidara had a chance after 10 minutes but could not find the target with his shot.
Yohan Mollo had a half-chance after 19 minutes, but again he could not work Sirigu in the PSG goal.
PSG started to get into the game and Kevin Gameiro had an effort on target but he could not find the net after 31 minutes.
In the second half Nancy's defence had to be alert early on to block an effort from Jeremy Menez.
Mollo had another chance after 60 minutes, but he failed to find the target as the score remained goalless.
PSG were finally ahead after 74 minutes and it was Ibrahimovic's 10th goal of the season as he struck home with his first proper chance.