[1] Elizondo debuted on Tuesday, April 5, 1977, in the main event of an undercard held at the Lantana Sports Complex in Corpus Christi, against 4 wins, 8 losses Rodolfo Perez.
This included his first fight outside Corpus Christi, when he met 2 wins, one loss Juan Venegas on August 15, 1978, in Houston, whom Elizondo beat by third-round knockout.
[3] On his eighth contest, Elizondo somewhat surprisingly experienced his first loss as a professional boxer, beaten by a seventh-round knockout by the debuting Viterbo Romas as part of a program headlined by future world title challenger Wilford Scypion, also in Houston.
[4] Elizondo responded to that first defeat with a streak of 16 wins in a row, including a ten rounds unanimous decision win over Arturo Leon, 26-16-2 before their contest, on his second bout after the loss to Romas, in a fight held at Corpus Christi's Memorial Coliseum on August 7, 1979,[5] his first fight as a professional boxer outside Texas when he traveled to Los Angeles, California to meet 31 wins, 16 losses and 1 draw (tie) Don Sennett at the Olympic Auditorium in the main event of a program held on March 13, 1980, in a fight in which Elizondo emerged victorious by first-round knockout,[6] a second-round knockout of Norman Goins in another main event at the Olympic Auditorium on August 7 of the same year[7] and a ten rounds unanimous decision win against 44-13-1 James Martinez back in Corpus Christi on September 2, 1980.
On December 19, 1980, Elizondo made his Las Vegas, Nevada debut when he fought 13 wins-11 losses and 3 draws trial horse Jesus Salcedo as part of a program headlined by the World Boxing Council's world Bantamweight championship fight between Lupe Pintor and Alberto Davila (which champion Pintor won by 15 rounds majority decision), Elizondo beating Salcedo by third-round knockout.
Despite giving Paz a tough test, Elizondo was stopped with three seconds left in the fight, losing the contest by a tenth-round technical knockout.
[18] Elizondo's next fight was his last; he took on 24-5-1 prospect John Sinegal as part of a program headlined by future International Boxing Hall of Fame member Daniel Zaragoza at the Memorial Coliseum in Corpus Christi on July 31, 1987.
[19] A two time world championship challenger, Elizondo retired with a record of 32 wins and 6 losses in 38 professional boxing fights, with 23 victories and 5 defeats by way of knockout.