On 3 February the Japanese Football Association (JFA) announced the coach had been fired amid a match-fixing scandal in Spain, however many Japanese players were sad to see the Mexican go.
Aguirre was only in charge of Japan for 10 matches.
Japan captain Makoto Hasebe was quoted saying: "It was brief, but he trusted us and we fought together. I hope things turn for the better for him from here on."
Defender Atsuto Uchida added: "What I remember about him most is that he used to have a good time at the training sessions. Since I've been playing for Japan, I don't know of any other coach who had as much fun at training and he used to run the sessions well.
"The manager must be hurting the most. But I understand where the JFA is coming from as well."
Inter Milan star Yuto Nagatomo said: "I'm very disappointed by the dismissal. We did everything we possibly could at the Asian Cup. He kept picking me and made me feel important to the team. I want to thank him for all that he did for us."