Lehmann said on talkSPORT: "For me, he is not a traitor. For me, he is very lucky to get such a great job. There must be a reason why he's not with Bayern Munich anymore. It's very difficult to get sacked by Bayern Munich. But we are happy for him that he's the English coach now."
He added: "It doesn't make England more likely to win anything, but it's good for him.
"You have to look at Bayern Munich and how they played last season. Then you'll see it. If you understand football, you'll see it."