The Eiffel Tower: A tall ****ing tower that is in France.
Gobert: A tall ****ing guy from France.
Therefore "The Eiffel Tower" both describes his nationality and physical attributes.
The French Connection: Heroin Trafficking Scheme in France
Gobert: Due to his height and length he is able to block shots
Therefore "The French Rejection" is a clever play on words that both ties in his ability to block shots (rejection) and his French nationality. Also heroin's slang name (smack) is also another slang for blocking a shot, so it makes it even cooler.
The Cobert Report: One of the best shows on television.
Rudy Gobert: His name rhymes with Cobert
Therefore when you watch Gobert's highlight films, which will be one of the best things to watch due to the high amount of blocks and dunks, it will be akin to the entertainment quality of The Cobert Report, therefore we name his highlight reels "The Gobert Report".
French Kiss: A form of kissing that is very slow and sensual.
Gobert's Hook Shot: Also slow and he delivers it with a soft touch.
Therefore we call Gobert's hook shot "The French Kiss" because it turns Jazzfanz on.
*NOTE*: This name for his hook-shot isn't official until he develops one that is worthy.
See KKK, why you might not be proud of your nationality, I'm sure Gobert is. He will look at these nicknames as a badge of honor that will allow him to represent France and be a total badass.