An attorney with Joaquin Guzman's legal team said they are "disappointed" by the Tuesday decision.
"The guy is going to be in a box for the rest of his life. I'm not asking you to play violins for him. This is his last shot," Guzman's attorney said.
El Chapo's wife and former beauty pageant queen pleaded guilty to three separate federal charges in a plea deal with prosecutors. Who is Emma Coronel Aispuro and when did she meet Joaquin Guzman?
Pena Nieto dismissed the allegations as "false and defamatory."
Juan Carlos Ramirez led the Colombian North Valley cartel and sold cocaine to El Chapo.
Despite formerly serving under Guzmán, López aimed to take control of the Sinaloa cartel and launched a bloody feud with El Chapo's son for control in 2016, according to reports.
He's escaped from prison twice — once in a laundry cart, and once in an underground tunnel starting in a shower.
The Mexican drug kingpin spends up to 23 hours locked up and is not allowed to receive any visitors.
Joaquin "El Chapo" Guzman, who escaped from two Mexican prisons and was a key figure in a bloody drug war, is seen as a flight risk by the U.S. government.
"I have a regret that the entire discussion about this article ignores its purpose," the actor said.
U.S. officials have said the United States has filed more than one extradition request for drug kingpin Joaquin Guzman.
Joaquin "El Chapo" Guzman escaped via a mile long tunnel and a rail-mounted motorbike.