As the posters above said, they probably would want more territory in the Pacific. But I don't think they'd demand French (or British) territories in the Caribbean or the Guyanas.
This is for two reasons. One, they have no real strategic interest in having colonies there. Two, this would run afoul the Monroe Doctrine. I'm pretty sure the U.S. in this scenario stayed out of the war, and would have something to say about new German colonies.
My guess is the Germans would force France to sell French Guiana to Brazil at whatever low price Brazil could afford. Martinique and Guadeloupe would probably be sold to the U.S. at a fair price.
I don't think Germany would be in the position to make any demands on the U.K. in the New World, but if they were, they'd probably just require the Falklands be handed over to Argentina. Would help cement relations between Argentina and Germany, and it wouldn't piss the U.S. off unnecessarily.