The pair, along with Reds teammate, Jarell Quansah, helped England to victory in the tournament.
Chambers said, "I think that will always live in my memory. It's a massive achievement for me and Harvey, and [I'm] just over the moon really. I'm still not over it!
"When you're younger that's what you dream of really. For us to be able to say that we've won it is massive; it's a massive honour."
Davies, meanwhile, said: "It's such a good experience to be around them all. There's a lot of lads there that I've not played with before, so it was nice to meet them. Going away with England is always a massive honour. I'm really proud to say that we were able to win the Euros.
"It was such a good feeling. I couldn't stop smiling for a few hours and I know that us and all the lads, [we] didn't really take our medals off for a while. Honestly, [it was] a once-in-a-lifetime opportunity [and] to do it so young is even better."