The 18-year-old winger, who has been likened to Jadon Sancho, is failing to make City's Under-23 team, despite being fit.
The Mail claim £8million-rated Braaf could leave City as early as next month with Bundesliga and Eredivisie clubs interested.
The Dutchman's situation has drawn comparisons to Sancho's one as the England winger left City to join Borussia Dortmund for £8m in 2017.
He has since gone on to become one of the world's best attacking talents and is frequently linked with a big-money move back to England.
Braaf signed for Man City from PSV Eindhoven two years ago and even penned a new four-year contract in July 2019.
He had expected to be training with City's first-team by now, however, his progress appears to have stalled.
Braaf won the Under-23 Players' Player of the Year as City lifted the FA Youth Cup last season.
City would be willing to send Braaf out on loan in the January transfer window, but a permanent move seems more likely.
Man City look set to lose another highly-rated youngster with Jayden Braaf on his way out, according to reports.