Combined with Trinidad & Tobago's 10-0 win over Anguilla earlier Sunday, French Guyana finished second in Group 5 with six points and a plus-3 goal difference. That eclipsed Group 4 runner-up B Barbados - which was eliminated with six points and plus-1 goal difference.
The results mean Trinidad, which already had clinched the Group 5 title, will host Group 8 in the second round with Cuba, Suriname and the Group 2 runner-up November 14-18, while French Guyana joined host Grenada, Haiti and the Group 2 winner in Group 6 November 14-18.
Pigree, who scored three goals in Friday's 4-1 victory over Anguilla, put French Guyana ahead in the seventh minute. Jean-Claude Darcheville added his second goal in three games in the eight minute to immediately double the lead, and Pigree assured the victory with a second in the 72nd.
This is the only the third time since 1998 that French Guyana has competed in the Caribbean Cup and first since 2005, which it reached the third round before being eliminated.
In the earlier game, Jamaal Gay scored four goals, Keon Daniel had three and Willis Plaza added two to pace Trinidad over Anguilla.
All three had scored in Trinidad's 4-1 opening win over French Guyana on Wednesday. Gay and Daniel had the Soca Warriors ahead 2-0 by the 11th minute, Gay added two more by the 32nd and the two combined for another three to have Trinidad in command 7-0 by halftime.
Sylvester Teesdale completed the scoring in the 71st.