The 18-year-old has scored five goals in 17 matches in the Romanian top flight this season and has been monitored by scouts from United.
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Rotariu has also made one appearance for Romania’s Under-21 side.
"It was a meeting in Bucharest with Manchester United officials with whom I chatted for around two hours,” Rotariu told Romanian newspaper Ring.
“They wanted to know me personally, to see what kind of guy I am, what character I have. We didn’t just discuss football.
“I was told they are monitoring me. This gives me ambition and motivates me. When a club the size of Manchester has you in sight, you can only be proud.
“Honestly, I did not expect to happen quickly, but I tell you I will not go to your head. going to focus even more on every game and to give everything in training.
“I feel very well at Dinamo and I want to win trophies here. The cup is important for me and my colleagues.”