The 55-year-old stressed he is not indifferent to the fans' opinion about the team's current form, stating that Mallorca's penalty was controversial
Atletico found themselves trailing just two minutes into the game following a penalty kick by Tomer Hemed, but Radamel Falcao's finish from the spot right before the break restored parity.
The result only adds more pressure to the Vicente Calderon outfit, who lie in ninth position in the Liga table, without a win in six games.
Atletico's fans made their frustration known at the end of the game, shouting "leave right now" towards Manzano, who took over the club in the summer.
"When the fans were doing the Mexican wave we had to stick our chests out, and we cannot get depressed now," Manzano said after the game.
"The fans want their team to win and I understand they get angry when we do not. I understand they may be unhappy."
The 55-year-old coach admitted that the result did not match the team's expectations, while stating that Mallorca's penalty was "unfair".
"Everyone saw that Silvio had no intention to handle the ball," Manzano continued. "The players could not get focused on the match right from the start.
"Mallorca were very organised at the back and they did not leave many spaces for us. We tried to win but we could not do it.
"We did not expect to draw today."