It is naive to assume Humans have no influence in a global scale. We have conquered our planet, planes fly in the air, ships travel across the ocean and cars drive over land. We are very much the curators of our planet and our actions influence our environment. We carve mountains for granite, we unearth mineral deposits that were formed over millions of years and most importantly we release by products through our actions that do affect our planet.
Fukushima releases thousands of gallons of nuclear waste into the pacific, BP Unleashed millions of gallons of oil into the gulf of Mexico, our oceans are acidifying, temperature is slowly increasing, fracking causes small tremors that add to the stress of tectonic plates, and so much more.
What is up to debate is to what extent our influence exactly is but to say we have no influence is rather naive.