Having failed to win any of their previous five friendly games since wrapping up qualification with a flawless 10 wins from 10 matches, Germany rebounded from last weekend's 2-1 defeat to Austria.
Timo Werner gave Joachim Low's men an early lead and Omar Othman's unfortunate own goal undermined Saudi Arabia as they briefly threatened to find a way into the contest.
"Today we missed a lot of chances, were really open in defence and allowed too many counter attacks from Saudi Arabia".
"Some parts of game we dominated the play, other times they were much better", said Pizzi, who at half-time urged his team to just enjoy the experience and play without fear. "We will take it one game at a time", he said. "We'll be quicker and more dynamic with more power next week".
The Green Falcons started their final preparation match fully aware that the last time the two sides met, at the 2002 World Cup, they were on the wrong side of an 8-0 loss. Mesut Ozil, who is laboring with a knee injury, was left out with Julian Draxler of Paris Saint-Germain taking the Arsenal midfielder's place.
The Germans grabbed a flawless start into the encounter as Joshua Kimmich's long ball found Marco Reus inside the box before Timo Werner hammered home from close range with eight minutes into the game.
Ismaila Sarr had given the visitors a 48th-minute lead, only for the home side to respond with goals from Inter Milan forward Ivan Perisic (63) and Hoffenheim striker Andrej Kramaric (84).
"We gave away too many chances against a relatively weak opponent", Toni Kroos said.
Reus and Sami Khedira both hit the post and Germany had the ball in the net twice more only to see both ruled offside.
There was little of note in a sterile second half, apart from whistles from the home fans for Ilkay Gundogan following his entrance before the hour mark.
Joachim Loew has slammed Germany fans who booed Manchester City star Ilkay Gundogan during Friday's 2-1 World Cup warm-up victory over Saudi Arabia.
Loew gestured to supporters for applause but only some heeded his appeal. Al-Mayouf's mentor, former Germanygoalkeeper Oliver Kahn, was watching from the stands. They will clash with Mexico for their first group stage match in Group F on June 17 in Moscow.
Cologne and Germany defender Jonas Hector has revealed Die Mannschaft are determined to improve upon their defeat to Austria with a convincing display against Saudi Arabia. However, eight minutes after Lewandowski's opener, Chile's Diego Valdes Contreras pulled one back for the South Americans, reducing the deficit to 2-1.
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