[6] In his 9th professional fight, González fought Oscar Murillo (11–10, 8 KOs) for the vacant Nicaraguan and WBA Fedecentro light flyweight titles.

González won his first 16 fights all by way of knockout, before meeting Hiroshi Matsumoto (17–7–4, 8 KOs) at the Bunka Gym in Yokohama on 14 January 2008.

[22][23] González's third defense took place at the Marquee Ballroom in MGM Grand Hotel and Casino in Las Vegas, Nevada, on 1 October 2011.

[24] In his first fight in the United States, González knocked out Omar Soto (22–7–2, 15 KOs) with a straight right and left uppercut combination 36 seconds into the 2nd round.

[27] The original opponent to fight González was former IBF champion Ramon Garcia Hirales (16–3–1, 9 KOs), who initially replaced his twin brother Raúl García.

[28][29] On 28 April 2012 González defended his WBA light flyweight title against Ramon Garcia Hirales at the Fairplex in Pomona, California.

[30][31] González briefly moved up to Flyweight on 6 October 2012 and fought undefeated 23-year-old Stiven Monterrosa (9–0–2, 8 KOs) at the Hotel Holiday Inn in Managua, Nicaragua.

The stoppage seemed questionable as the referee waved the fight off as González was finishing off his combination and landed a punch which didn't appear to hurt Monterrosa.

[32][33] On 27 October 2012 it was announced that González would fight 22 year old flyweight prospect Juan Francisco Estrada (26–1, 20 KOs) at Los Angeles Memorial Sports Arena on 17 November.

[35][36] On 25 May 2013 González fought Colombian Ronald Barrera (30–11–2, 18 KOs) in a non-title bout at super flyweight at the Polideportivo España, Managua, Nicaragua.

[41] On 23 June 2014 it was finally confirmed that González would challenge the WBC, The Ring and lineal flyweight champion Akira Yaegashi (20–3, 10 KOs) on 5 September 2014 at the Yoyogi #2 Gymnasium in Tokyo, Japan.

[42] González won the fight via ninth-round TKO to win the WBC, The Ring and lineal flyweight titles, becoming a boxing triple champion.

[45][46][47] On 19 October 2014 Teiken Boxing Gym announced that González would make a defence of his titles against Rocky Fuentes (35–7–2, 20 KOs) on 22 November at the International Swimming Pool in Yokohama, Japan.

[55] It was announced that González would defend his world titles against 34 year old former unified flyweight champion Brian Viloria (36–4, 22 KOs) at Madison Square Garden in New York City on 17 October 2015 on the undercard of the middleweight unification bout between Gennady Golovkin and David Lemieux.

[62] K2 Promotions announced on 14 July that González will move up to super flyweight to challenge Carlos Cuadras (35–0–1, 27 KOs) for his WBC title.

The fight was part of a HBO split-site telecast on which K2 stablemate and unified middleweight titleholder Gennady Golovkin defeated welterweight titlist Kell Brook at the O2 Arena in London.

[80][81] The fight was officially announced on 7 January and served as the co-feature for Gennady Golovkin vs. Daniel Jacobs at Madison Square Garden on 18 March 2017.

[97] On fight night, in front of a pro-González sell-out crowd of 7,418, González suffered his second consecutive career defeat and failed to regain the WBC title, after being knocked out by Sor Rungvisai in the fourth round of their rematch.

[101][102][103] González stated that he wouldn't return to the flyweight division, as he was unable to reach the 112 lbs limit and that he was interested in competing for a fifth world title, but he was also considering retirement.

After being trained by Japanese coach Sendai Tanaka in his last fight, González made his intentions clear that he wanted to work with Félix Trinidad's father and ex trainer Don Felix.

[110] According to Tom Loeffler on 22 November it was believed that González would make his ring return around April or May 2018, possibly on the undercard of a Gennady Golvokin fight.

[111] On 11 January 2018 González hired Gustavo Herrera as his head trainer, from Managua, Nicaragua at the Roger Deshon gym and stated his intention to remain at super flyweight.

[118] According to ElNuevoDiario on 13 July 2018 González was looking for an opponent for the undercard of the Canelo Álvarez vs. Gennady Golovkin rematch on 15 September at the T-Mobile Arena in Paradise, Nevada.

[126][127] On 25 November Tom Loeffler told ESPN, González was unable to shake off a knee injury he suffered during his training camp and would no longer fight Guevara on the card.

[130] On 14 January 2020, Matchroom Boxing promoter Eddie Hearn announced González would challenge the WBA (Regular) super-flyweight champion Kal Yafai on 29 February at the Ford Center at The Star in Frisco, Texas.

Despite having some success in the early rounds, Yafai was unable to fully capitalize on his bigger size and reach advantage, allowing González to get close and dictate the pace of the fight with his relentless pressure and bruising body shots.

González' high work rate and body attacks began to take an early toll on the champion who became increasingly slower and fatigued, even losing his mouthpiece several times over the fight.

González quickly ended the fight in the ninth round after landing a huge overhand right that put Yafai on the floor for the second time.

[135] Gonzalez was expected to face Juan Francisco Estrada in a trilogy bout in the main event of a DAZN broadcast card on 5 March 2022, at Pechanga Arena in San Diego, California.

Estrada was forced to withdraw from the fight due to a positive COVID-19 test and was replaced by the WBC flyweight champion Julio Cesar Martinez, who stepped in on a six-weeks notice.