The striker joins on a two-month loan and will go straight into the squad to face Maidenhead United on Tuesday.
Hudson-Odoi began his career at Fulham, where he was a youth team player. In 2007, he represented Ghana at under-20 level.
Hudson-Odoi, who was a key part of Sutton`s Emirates FA Cup run of last season – playing against AFC Wimbledon and Arsenal, has just finished a loan spell with National League South side Hampton & Richmond Borough.