It will be the Scots’ first tournament in 23 years, and there they will take on Croatia, the Czech Republic and England in a tough but exciting group.
Jack’s focus is now turning back to Rangers, and the club’s massive Scottish Premiership meeting with Aberdeen at Ibrox on Sunday.
Speaking to this morning’s press conference, he said: "Physically and mentally, I'm on the track of recovering. As players, you get everything done for you nowadays and here at Rangers, we have top facilities to come into and recover with the pool and the ice baths and the masseurs etc.
"So physically, I am on the way to recovering for the weekend, and mentally, it was on the back of a tough trip with three away games, and the first one was the 'cup final' if you like and everything that came with that build-up and trying to get the nation to a major tournament.
"So we are obviously pleased to have done that, now I am delighted to be back at Rangers and am looking forward to the weekend."
Scotland reached the tournament by beating Serbia on penalties away from home, and Jack continued: "It was a great night. We were away from home and we were up against a top side and maybe a lot of people would have written us off and made us underdogs.
"But we just stuck to what we believed in and got the result and got there the hard way, but we got there in the end and that feeling that you have, as a player, you want to have that as many times as you can throughout your career.
"It was a very special night, so going forward, hopefully I have more of that feeling to come."
His attention now is on Aberdeen on Sunday, and he added: "Aberdeen are going very strongly at the moment. Derek [McInnes] and Tony [Docherty] are doing a great job and you see they have been on a good run and have been picking up big results along the way.
"So we know it is going to be a tough afternoon. They always come and give us a tough game so it is one, for us as players, that we know it is a big game and we are looking forward to it.
"We know the test they always give us and they always try to stay in the game, especially up to half time and then they'll try to hit us on the counter attack.
"I know Derek and Tony are big on set-pieces as well, so we will have to be big and be strong on that side of it as well.
"Aberdeen are a good side, but it is another test for us and we have met many tests this season where we have thought it is going to be a tough game and it has proved to be the case.
"But we have got there and got the results so we will have the same mentality going into Sunday that come 12noon, we just have to come out the traps and be ready to go and get three points for our club."