Once a product is created, you can translate the product's name. To do this, visit Products and Pages » select your product and then click Edit on Description and Image.
The field called Display Template is where you will add the translations.
The following is an example product description template with elements that support multi-language content.
Within the <??> element, enter the contents of the product description. The first <??> will be for the default content, which is typically in the English language. Note that ?? represents the 2 letter ISO 639-1 code associated with the language.
Default / English
Language associated with ?? translation