This does not mean coaching would completely eliminate it. Remember that accent can be perceived as associated with special expertise. For example, Henry Kissinger, the former U.S. Secretary of State, has a heavy accent. But accent can be understood as an asset. By selling yourself that way.
Today is a day of global business.
I think not. This is to suggest that you sell yourself as bilingual. Facility in more than one language is an asset, especially since the U.S. workforce is increasingly diverse. I assume you have a record of job accomplishments that you list in your resume. Add to that the bilingual asset.