"Since Guzman Loera has been recaptured, the beginning of the extradition proceedings should begin," the Mexican attorney general's office said in statement.
Mexican Attorney General Arely Gomez noted how the US government sought Guzman's extradition as early as June 16, before he escaped for a second time from a Mexican prison in July.
While on the run for the past six months, the notorious outlaw was not entirely living as a hermit.
In an interview conducted for Rolling Stone magazine three months after he escaped from prison, he touted his drug trade, saying he "supplies more heroin, methamphetamine, cocaine and marijuana than anybody else in the world."
He spent hours talking to actor Sean Penn, who interviewed him for the magazine during a secret meeting in the Mexican jungle. He answered followup questions several weeks later while still on the run, the magazine said, CNN reported.
Guzman received the followup questions through an intermediary and answered them in a videotape he sent to Penn.
The article posted online Saturday includes a blunt admission about his intricate dealings in the cartel world.
"I have a fleet of submarines, airplanes, trucks and boats," Guzman told Penn.
When he was not bragging about his drug trade during his time on the run, the kingpin was trying to make a movie deal.
Police and the military successfully hunted down Guzman and his henchmen this week partly because he or his representatives contacted filmmakers about making an El Chapo biopic, Attorney General Gomez said.
"Another important aspect that allowed us to pinpoint his location was having discovered Guzman Loera's intention to film a biographical movie through establishing communication with actors and producers, which formed a new line of investigation," Gomez said.
Hollywood will likely make a movie or even a series about El Chapo, as it has about other drug lords, such as Colombia's Pablo Escobar in "Narcos."
But for now, Guzman won't have a direct hand in any.
His efforts to develop a biopic ends in a scene with an interesting twist: After six months on the lam, Guzman is now back in the same maximum security prison from which he escaped, according to a Mexican law enforcement official with knowledge of the case.
Now that Guzman is back inside the Altiplano maximum security prison in central Mexico, officials aren't disclosing where exactly he is being held inside the facility.