El Tri sliced the German defense over and over with counterattacks, and Hirving Lozano cracked it open, cutting back to spin around Mesut Ozil and beat goalkeeper Manuel Neuer from about 10 yards in the 35th minute.
"I don't know if it's the biggest win in (Mexico's) history but doubtless it is one of the biggest for sure", Lozano said.
The world champions play Sweden on Saturday, and it's a must-win game.
If Layun was overwhelmed by his team's upset, his coach wasn't.
If Mexico are able to keep their strong positioning and defend as a team, they could reach the quarterfinals for the first time since 1986.
The first half proved decisive.
Low refuted suggestions he should have stuck by the younger crop of players he brought to Russian Federation 12 months ago to win the FIFA Confederations Cup in impressive fashion, including a 4-1 thrashing of Mexico in the semi-finals. They hadn't lost an opening game since the then-West Germany fell 2-1 to Algeria in 1982.
The highly-rated PSV Eindhoven forward struck the victor on 35 minutes after a blistering counter-attack at the Luzhniki Stadium in Moscow as Mexico beat Germany for just the second time in history. Mexico are ahead in the game with a first-half goal from Lozano. Joshua Kimmich, Marvin Plattenhardt, Toni Kroos and Khedira aggressively pushed forward, leaving their center-backs exposed to the counter-attack.
"We will make it", Germany coach Joachim Loew said. "We need to focus on the next game".
Mexico pulled back into a more defensive formation midway through the second half as players exhausted and Germany attacked. The Germans were being dominated in midfield and every time the ball broke in the centre, the Mexicans swarmed in numbers.
"You had the feeling that the ball just wouldn't go in anyhow", Loew said.
"We had drawn up a plan six months back or so".
Osorio said he tried to shield the players from the criticism which has come his way so they could concentrate exclusively on the match. Chicharito played Hirving Lozano into the box on the left channel, and the PSV winger looked to have a clear close-range look until Jerome Boateng came up with a well-timed slide tackle to block the chance.
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