Griezmann converted a penalty on the stroke of half-time before sealing the win with 18 minutes remaining.
The semi-final triumph marked France's first victory over Germany at a major tournament since 1958.
But striker Giroud and his team-mates are not dwelling on the result as they seek to claim a third European Championship title on Sunday, having won their two previous finals in the event, in 1984 and 2000.
"It was an emotional night, we will enjoy it and then focus on Portugal," Giroud said afterwards.
"It was a key moment to score the first goal, the penalty changed the game because Germany had created some chances in the first half but weren't able to score."
Giroud added via BeIN Sport: "It's been a while since we beat that team in a big match. We're very tired but very happy tonight. We're going to enjoy this and then concentrate on the final on Sunday.
"I'd like to write a chapter in history and achieve something great on Sunday.
"We hope there will be a great ending to this tournament, we can't stop now."