Mexican federation (FMF) general secretary Guillermo Cantu didn't want to comment on reports that Argentine Martino will be signing.
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Guillermo Ochoa celebrated his 100th cap in Mexico's loss to Argentina, but he lamented El Tri's lack of direction and underdevelopment in Europe.
Several players for Mexico said they were keen on the reports that Gerardo "Tata" Martino would be appointed as the squad's next boss.
"I was hoping the players would play better," said the Mexico boss. "We made a lot of mistakes and players at this level shouldn't do."
Mexico's veteran goalkeeper was one of the few bright spots in a dreary performance against hosts Argentina.
It was a disappointing display against Argentina's fluid attack, but the rare road test gives Mexico plenty to build on.
A first-half header from Ramiro Funes Mori and a second-half own goal from Isaac Brizuela gave Argentina a 2-0 win over Mexico on Friday.
When asked on Friday about his link to the Mexico job, the Atlanta United boss said "I have nothing new to say about that."
"They made a very aggressive move to get Tata," the MLS commissioner said when asked about the Atlanta boss' reported links to the Mexico job.
"There's an area of the federation dedicated to finding a new coach and I'm sure they'll make the right decision," Ferretti said of Martino.
The trip to Argentina for two upcoming friendlies has not started off well for Mexico. A positive display will go a long a way to embolden El Tri.
"Personally, it would've great to play against him," the Mexico defender said of Messi, who continues his absence from the Argentina squad.
Guillermo Ochoa has done nothing to lose his place as Mexico's No. 1 but with a new manager to come and youthful competition, is the pressure on?
The surprising decision to play two friendlies in Argentina will test a young side that still faces an uncertain managerial situation.
Hirving Lozano was due to meet the squad in Cordoba ahead of Friday's first match against Argentina, but will miss both matches for Mexico.
Cruz Azul manager Pedro Caixinha said he has no interest in coaching the Mexico national team, saying he's focused on the Liga MX club.
With two friendlies against Argentina, the exclusion of Javier Hernandez and other veterans from Mexico's squad is an issue that won't disappear.
Hector Herrera and "Tecatito" Corona both had stellar midweek European matches, but which other Mexico internationals had bright European midweeks?
Among the players back for Mexico are Guillermo Ochoa and Hirving Lozano, but Javier "Chicharito" Hernandez and Andres Guardado are left off.
The LA Galaxy and Dennis te Kloese are in talks over becoming the head of the team's of soccer operations, sources have confirmed to ESPN FC.
Quique Sanchez Flores, 53, has previously managed clubs including Benfica, Atletico Madrid and Watford.
Mexico international Hirving "Chucky" Lozano was linked with Manchester United before joining PSV Eindhoven in 2016.
Giovani dos Santos isn't thinking of leaving but rather on improving on his poor 2018, according to the Mexico international's brother and teammate.
"In all the stages [of my career] I've had thoughts about not going, of course," said Hernandez, when asked about playing for Mexico again.