Low saw his side take a 2-0 lead thanks to strikes from Toni Kroos and Mario Gomez either side of the interval, before the Three Lions put together a remarkable second-half fightback.
Goals from Harry Kane and Jamie Vardy levelled the encounter before Eric Dier popped up to head home a last-gasp winner as England earned a massive boost ahead of Euro 2016 this summer.
And afterwards Low admitted England deserved their win, citing Germany lacked “control” throughout.
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"I think that England earned the win," Low told DW Sports. "We did not play very dynamically and never really had control.
"Jamie Vardy's goal ways very hard to defend.
"There were a lot more holes [in the second half] than there were in the first half, and England played faster."
Kroos. who beat Jack Butland with a long-range effort in the first half to break the deadlock, shared the frustrations of his coach, adding: "We made the game 2-0 and then we defended poorly.
"We made the field too big, and we did not win enough tackles."