The 40-year-old coach was unhappy with the draw against their cross-town rivals and noted that the latest results do not reflect what the team did on the pitch
Los Che opened the scoring before the break through Jonas, but a second-half strike from Arouna Kone forced the two clubs to share the spoils in the Valenciano derby.
"We deserved to win the match," Emery told reporters after the game. "We were better in terms of chances on goal and possession of the ball.
"Now it is important to fix our mistakes because the results do not show all the good things that we are doing.
"This a bad result and we are not happy. The fans expressed this at the end, but during the match they supported us."
The draw leaves Valencia one point clear in third place, and Emery admitted that the team need to put an end to a three-match winless streak in La Liga.
"I am not afraid to lose the third place, but I have the obligation to change the dynamic of the team and to seek solutions," the 40-year-old trainer said.
"We have the advantage that we remain third. We know that a victory will boost us."