The 17-year-old scored the only goal of the game at the Singapore Stadium on Saturday.
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The young forward is making a big impression in pre-season for the Red Devils.
And Solskjaer says he could be set to play an important role for the club next season, and reminds him of club legend and former team-mate Ryan Giggs.
Speaking after the win against Inter, the manager said: “Mason’s never been on my mind to send out on loan, he’s one we have to keep at our place and it’s good for him and at the moment he’s fine.
“He reminds me a bit of the Giggsy story, you can’t send him on loan and he’s ready to be in this squad.
“He’s a nature finisher. He’s practising of course but he just knows where the goal is. Sometimes you get players like this and he’s a natural scorer.”
The United boss also gave an indication to defender Axel Tuanzebe may not be heading out on loan this season.