Terim added: "I congratulate Germany for their win and wish them success for the final but I am proud of my players.
"We were able to show the world what a good team we are.
"Sometimes when we win you could ask yourself if it was fair too. This was the result and we have to accept it. I think we were the better side.
"I never used suspended or injured players as an excuse. I said I'd have 11 players out there and I had 11 players."
Meanwhile, Colin Kazim-Richards has accused Germany of being unsporting after their late winner at the St Jakob Park stadium.
Kazim 'devastated' by loss
Lahm's winner came after the English-born striker had gone down injured.
Kazim believes the Germans should have put the ball out of play, insisting he was genuinely injured.
"I personally think they will be a little bit upset with the goal that won the game for them," he said.
"This whole tournament has been based around fair play and I think you saw that we did it (put the ball out) a couple of times, we've done it throughout the tournament.
"Although I can't say that if I was in the same position I would have done the same thing, but it would have needed to be more like a screamer - he (Lahm) had to make a pass before scoring, so it's a bit upsetting.
"I'm not the sort of guy to stay down if it's not something serious, I got subbed off and would've played on if I was all right."
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