If globalization contributes to environmental degradation, then periods of deglobalization would coincide with periods of reduced environmental destruction.
This is not what happens. Since 2008, the globe has been on deglobalization trend. Brexit, Donald Trump's trade war with China and opposition to multinational trade agreements are all indications of anti-globalization sentiment reflected in protectionist policy.
But this period of protectionism has not coincided with a period of reduced environmental destruction.