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Generally speaking, a foreign company does not have any rights to a trademark in the US unless its products are sold in the US. Since the company gave you permission to trademark and provided you with the relevant documentation there should be a problem to submit the application. There is no need to translates the documents. You will need to show that the products and/or services that are being trademarked are sold in interstate commerce.
Generally that does not require any foreign documentation. Just documentation from the US
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