The England winger's £73m move from Borussia Dortmund was confirmed this morning.
Solskjaer told manutd.com: "Jadon is a signing that we expect to stay at Man United for many, many years, so it's also that part of it that we have a young, up-and-coming forward line. There will be injuries and there are always players that you need to give a rest to.
"For example, you can't win a Euros that lasts for four weeks with 11 or 12 players – never mind when you've got the Premier League, the Champions League, the FA Cup and the Carabao Cup… it's a long season and this has strengthened our squad and I'm sure everyone will see that.
“I think he made a good decision going to the Bundesliga, it was probably the right step for him, the right level and right club. I think Dortmund have shown so many times what they can do for young talent and in the Bundesliga what that can do. The Premier League is a different animal though. I don't want to sound disrespectful to the Bundesliga, but I think the Premier League is a step up.
"We've seen that in the last few years in the Premier League, and the teams that have got to finals in Europe and won them, it's shown it's the place to be and that's where Jadon wanted to be. He's been in England of course, at Watford and over on the other side of the city as well, so he knows what's expected from him."
The United manager also stated: "He's got that DNA of exciting fans and entertaining and he's also a winner. He wants to win and that's the next step for us. We need to take the next step, we want to take the next step and we feel that he can help us do that. Of course we're going to give him a chance to develop more and more throughout time.
"It's not like in your first game you have to show everything; we've seen so many times with our players that when you play for Manchester United that gradually, with the help of the coaching staff and the platform of Old Trafford, you'll improve as a player."
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