The 30-year-old was forced off at half-time with an ankle problem as Greece were defeated by Finland on Monday.
Sokratis will return to London this week for medical assessments which will determine whether he is available for selection against Leicester in the Premier League on Monday night.
Danny Welbeck and Petr Cech will also undergo tests ahead of the clash, after picking up hamstring problems in recent weeks.
Mesut Ozil and Ainsley Maitland-Niles have also returned to training this week ahead of the match, though two of Emery's other centre-backs, Dinos Mavropanos and Laurent Koscielny, are also sidelined.