Earlier Tuesday, Kurlson Benjamin scored twice to give Dominica a 3-2 victory over Aruba, leaving it one point behind the Dominican Republic in Group 4 and setting up a rematch between the namesakes on Thursday for a possible place in the next round.
The Dominican Republic led with four points, one ahead of both Dominica and Barbados.
Barbados on Thursday will face Aruba, which has one point and has been eliminated from contention. Only the group winner is assured of advancing along with the best second-place team from either Group 4 or Group 5.
Two years ago, Dominica beat the Dominican Republic 1-0 in Santo Domingo in their final first-round game to advance.
Nunez entered the game Tuesday in the 66th minute, the second straight match he came on in the second half, replacing Jonathan Fana and scoring 14 minutes later.
In the other game, Benjamin scored in the 45th and 77th minutes, the latter 16 minutes after Reinhard Breinburg was issued a second yellow card and ejected, to spark Dominica.
Chad Bertrand gave Dominica the lead in the 36th minute, but Aruba rallied to take the lead with Jean-Luc Bergen's equalizer four minutes later and Frederic Gomez's go-ahead goal in the 55th.