"Exxon Mobil maintains the view that the U.S. is well positioned to compete within the framework of the Paris Agreement with abundant low carbon resources such as natural gas, as well as innovative private industries including the oil, gas and petrochemical sectors," Woods wrote.
He went on to argue that remaining in the agreement would give the U.S. a "seat at the negotiating table to ensure a level playing field" for all energy sources.
On Thursday, 22 Republican senators sent a letter to Trump calling for the U.S. to pull out of the deal.
The Paris Agreement is within the UN's Framework Convention on Climate Change dealing with greenhouse gasses emissions reduction, adaptation, and finance starting in 2020.
As part of the deal, the U.S. pledged to reduce its emissions by between 26% and 28% from 2005 levels by 2025.
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