The Spanish giants parted ways with Julen Lopetegui in October following an embarrassing 5-1 defeat to arch rival Barcelona - which topped off what had already been a poor start to the season.
"We can't fight against what goes on outside".
Despite the win, fans were far from happy as they were seen holding banners that read, "Poresteescudo hay quemorir en la graday en el campo" which translates to "For this club badge, one has to die on the pitch and in the stands".
Sergio Ramos added a second goal from the penalty spot in the 88th after Karim Benzema was fouled by Fernando Calero.
"My pride is what has got me where I am today, and beating all the records I have beaten".
McGarry said: "As one very much in the inside Real Madrid hierarchy put to me during my time in Spain over the last couple days, "Ramos is a cancer in the dressing room that needs to be cut out". We understand how the fans feel.
"Obviously we all need to manage our emotions, and there are hard moments, and you know what 80,000 people are feeling".
The halftime whistle was greeted by boos from the stand and although Jordi Masip did well to deny Casemiro for Madrid, Valladolid spurned three good chances to go in front. "In this game we showed all of those things". We have to change that, and after we scored the fans were lifted again. The Bernabeu came back with the first goal.
Madrid, however, head into Wednesday's Champions League game against Viktoria Plzen with their first win in six league games, as well as their own confidence boosted and their coach's momentum enhanced.