Except that statement wasn't said by royalty, it's a misattributed mistranslation of a snippet from Jean-Jacques Rousseau's Confessions.
It was written 9 years before Marie Antoinette became queen and while she was still a child and had not yet traveled to France.
This is a classic case of the victors writing history. This quote has been used countless times to try to illustrate that the royalty was out of touch (which I'm neither arguing for nor against here,) however there's no evidence it was ever spoken by the Queen - indeed it wasn't attributed to her at all for many years after her death.