La Liga asked the Spanish Football Federation (RFEF) for permission to stage the match on 26th January in Miami, Florida, though did receive criticism from both the Spanish Players' Union (AFE) and the president of the RFEF, Luis Rubiales.
Permission also needs to be granted by UEFA, the US Soccer Federation and Concacaf for the game to take place - the proposal comes as part of a 15-year-deal with US media giant Relevent.
Real Madrid have now released a statement to the RFEF on their views, saying: "First of all we would like to declare that Real Madrid were never informed that La Liga had requested to play the game nor of the intention to make the request, and we were never asked our opinion on it.
"Nor, obviously, did La Liga obtain Real Madrid's agreement, despite the fact that this game affects a competition in which we participate."
'Los Blancos' maintain that it is "fundamental" that teams play each other home and away so that there can be "integrity and equality" in La Liga.