fˈɑːloʊɪŋ hɪz ɹᵻtˈaɪɚmənt fɹʌmðə plˈeɪɪŋ fˈiːld, ˈæmbɹɪz bɪɡˈæn hɪz kˈoʊtʃɪŋ kɚɹˈɪɹ ɪn tˈuː θˈaʊzənd tˈuː wɪððə mˈɛksɪkˌoʊ nˈæʃənəl tˈiːm, wˌɛɹ hiː wʌzðɪ ɐsˈɪstənt tə hˌɑːvɪˈɛɹ ˈæɡwɜːɹə, tˈeɪkɪŋ pˈɑːɹt ɪnðə tˈuː θˈaʊzənd tˈuː fˈiːfə wˈɜːld kˈʌp.
Following his retirement from the playing field, Ambríz began his coaching career in 2002 with the Mexico national team, where he was the assistant to Javier Aguirre, taking part in the 2002 FIFA World Cup.