Final answer:
The French wanted to establish a permanent colony in the Americas through trading networks and colonization of islands in the West Indies.
Step-by-step explanation:
The Spaniards found evidence that the French wanted to establish a permanent colony in the Americas through their extensive trading networks in New France. The French wanted to establish a permanent colony in the Americas through trading networks and colonization of islands in the West Indies.
These networks relied on native hunters to harvest furs, such as beaver pelts, which were exchanged for French trade goods. The French also colonized islands in the West Indies that became lucrative sugar plantations using African slave labor.