Meanwhile, Lozano termed the victory as one of the biggest in Mexico's history.
Attention now turns to England as they prepare for their opening World Cup fixture against Tunisia on Monday.
The last three European winners of the World Cup before Germany - France, Italy and Spain - have all exited at the group stage during their title defence.
Mexico goalkeeper Guillermo Ochoa made a key save in the 39th minute - one of nine in the match - from a Toni Kroos free kick and stressed that the surprise three points for Mexico was historic.
Long used to the dominance of their national team, Germans are digesting their team's first defeat in a World Cup opening match in 36 years and wondering what will come next.
"The game against Saudi Arabia was actually a wake-up call". The central Americans, who have reached the last 16 at each of the last six World Cups, will need to be quick on the break if they are to catch their opponents off guard, as other teams have successfully done recently, including the Saudis.
Shawwal moon not sighted, Eid-ul-Fitr in Pakistan on Saturday
At 7.20 pm Thursday, religious leaders climbed the minar at Jama Masjid with a telescope, hoping to catch a glimpse of the moon. Eid al-Fitr is celebrated differently in each culture in the world, however its significance remains the same in Islam.
Mexico President Enrique Pena Nieto joined the party, saying on Twitter: "Confirmed: Mexico competes and wins against the best in the world, Congratulations to @miseleccionmx!" But two minutes after conceding the goal came Germany's best chance of the evening when Kimmich was brought down a few yards outside the box.
It means Mexico celebrated its goal so hard that it created its own natural disaster. In the first half, to a large extent, the players were coming back trying to recover the ball instead of playing deep, if we are not more incisive we will lose the ball. Germany then dominated but when it broke through the Mexican defence, the shooting was poor.
"I think it's a milestone for Mexican football", said Mexico coach Juan Carlos Osorio.
Germany coach Joachim Loew said the defending champions played "very badly,"warning that the shock defeat left them with little margin for error in their remaining group games".
His calming influence was crucial, marshaling the space in front of Mexico's back four as wave after wave of German attacks descended on the area.
Following Mexico's unexpected win over Germany, one El Tri fan couldn't hold back his emotions and proposed to his now fiancé.
However, qualification is no certainty now as Sweden and South Korea are no pushovers.
- A Heat Advisory is in effect for Father's Day
- Microsoft looks past next-gen Xbox to cloud games
- Kawhi Leonard wants out of San Antonio, Celtics interested in trade
- Technology helps France to a 2-1 win over Australia
- How many goals has Messi scored in the World Cup?
- India crush Afghanistan by an innings and 262 runs
- Exiled Yemen president goes to UAE as port attack looms
- ‘Fortnite’ Switch Crossplay Detailed By Epic Games
- Technology comes to France’s aid in 2-1 win over Australia
- Saudi Crown Prince heads to Russian Federation for World Cup