The Red Devils will travel to Norway for the clash on July 30 as part of their preseason preparations.
"I've said all along, since I came, I'm so proud, privileged and honoured to lead the club and be in charge of the club so, to do it in Norway, is another little bonus for me, of course," Solskjaer told MUTV.
"But, then again, it will be bigger here for everyone in Norway because there is such a huge fanbase here following us through thick and thin. We'll be the home team, no doubt about it.
"It's been Manchester United and Liverpool over the years who have had the two biggest followings, it still is, and the rivalry is just as big over here as it is back home in England. It's fantastic that I meet United supporters wherever I go in Norway, it's just part of our lives."