The striker scored twice in their 3-0 victory over Liechtenstein to reach Euro2020.
Afterwards, Pukki declared: "It was a dream for all of us. This is amazing. There have been tough times in my career and qualifying for the Euros is a prize.
"Thanks to the whole team and our coach, of course. Thanks also to Norwich and Denmark and my family. Today [yesterday] I received a very positive message from my wife, which gave an extra boost. It was an email. She reminded me how good I am and how good things have been lately.
"It was emotional for everyone to see people cry in the field."