Some have voiced their displeasure with Goldsmith's decision on Dos Equis' Facebook page.
One said: "Mexican beer for Obama............bye-bye Dos Equis."
But a supporter retorted: "The Dos Equis man can't have a beer with the man who thinks beer is a sin (Romney). I don't drink, but if do, It will be Dos Equis."
The brand's importer, Heineken USA, said in a statement to Ad Age: "Mr. Goldsmith's opinions and views are strictly his own, and do not represent those of Dos Equis."