The England international, who is out of contract next summer, is expected to miss the rest of the season after sustaining the fracture in Arsenal’s goalless draw with Sporting Lisbon in the Europa League.
Arsenal are in desperate need of a winger having shipped off Reiss Nelson on a season-long loan to Hoffenheim and have been linked with a move for Cengiz Under in the New Year.
According to Bleacher Report, Arsenal have sent scouts to watch Under in action all season at the Stadio Olimpico.
It is believed the North London club will contact the Serie A giants over a potential deal, though Roma are unlikely to sell unless an astronomical offer is made.
Arsenal will have to act fast if they wish to nab the Turkish international, with Manchester City and Tottenham also keeping tabs on the 21-year-old.
Under has been making waves in Serie A since becoming one of Eusebio Di Francesco first signings in July 2017.
The Turkish international scored eight times in 32 games as Roma reached the Champions League semi-finals last season.
Roma paid Istanbul Basaksehir just less the £12m for Under and would make a tidy profit if they decide to sell.
According to calciomercato.com, Arsenal are ready to offer over £44m to bring the star to the Premier League.
Under has previously declared his desire to play the English league at some point in his career.