The 16-year-old defender helped the Netherlands to the European under-17 Championship this summer, as the Dutch beat Germany on penalties in the final.
Bazoer currently plays his club football for PSV Eindhoven, but could be set to snub a professional contract with the Dutch giants.
The teen centre-back is one of Holland's brightest prospects, and is widely regarded as the next big thing from the PSV youth academy.
His performances for the Netherlands this summer attracted interest from English scouts, with Manchester City and Arsenal reportedly the most keen to bring the 16-year-old to the Premier League.
Arsenal have an excellent track record when it comes to bringing through young talent, and the Gunners have one of the most thorough scouting networks in the Premier League.
Arsene Wenger reportedly has a sizeable transfer budget for the January transfer window, and has been linked with a number of strikers, but the Arsenal boss could be tempted to move for Bazoer.
Manchester City are also thought to be interested, with Roberto Mancini set to focus on youth academy prospects rather than big-money transfers after years of targeting the game's marquee players.
A shift in transfer emphasis at City could lead them to firming up their interest in Bazoer, who is highly-thought of in Holland.