Spaniards in the american southwest abandoned the region around 1541 because?

They found nothing of value.

Explanation:

Spaniards began to establish colonies in America because they found an abundance of resource that could make them wealthy. In some of the places like Bolivia, Mexico, and Peru, they found mines of gold and silver. Spanish explorers were looking for ways to get rich and obtain wealth for their crown. Spaniard in American southwest abandoned the region when they failed to acquire any valuable object to keep them there.