US stance on the French intervention in Mexico is to avoid the direct conflict with the France and US have become silent and doing no innervation in the Mexican affairs, but they also remained neutral in the conflict.
How did the United States respond to the French takeover of Mexico?
Abraham Lincoln has denied acknowledging the Maximilian and French meddling in Mexican affairs. Lincoln saw this as a contravention of the Monroe Doctrine, which alerted European countries that the US would not endure further meddling in Western Hemisphere countries.
Thus, US stance on the French intervention in Mexico is to avoid the direct conflict.
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