The club's sporting director was far from pleased with the Santiago Bernabeu outfit's performance on Wednesday, which came off the back of a shock defeat to Levante
The Copa del Rey holders dominated proceedings throughout the match, but the opposition's organisation proved to be too much of an obstacle for Madrid.
"The key to the game was that we didn't find spaces in which to create chances on goal. Our players tried until the end and, despite having good ideas, we lacked the ideal conditions for them to come to fruition," Pardeza told Real Madrid's official website.
"We were always in Racing's half of the pitch, but they were organised. Real Madrid are forced to win in every venue because they are subjected to the highest demands.
"Taking only one point in two games obviously wasn't in our plans, but this sport is filled with uncertainty and our opponents also make good use of their talents. They don't just concede the game."
Real Madrid currently sit seventh in the Spanish league table with seven points from four games.