The 46-year-old saw Lukas Podolski cap his 130th and final appearance for his country with a stunning goal, but says that it will not detract from the Three Lions' display in Dortmund.
"Normally fairytales don't happen in football, but it did for him [Podolski]," Southgate said. "It was an outstanding achievement by him to win so many caps and score so many goals [for Germany].
"The goal was a wonderful strike and I'm sure we will look back at how we could have closed it down, but it was unstoppable for Joe Hart.
"We obviously won't spend too much time thinking about it, but I was pleased for Lukas.
"It is never nice to lose and I'm not usually over-positive if I have been defeated, but I have to be really positive with how the players performed."
Read the full article on eurosport.co.uk: Southgate 'really positive with England performance', despite defeat