The 29-year-old was making his senior bow for the Afridan side in a friendly against German club Wurzburg.
But he has been ruled out of action until next season, scuppering his hopes of being named in Ghana's squad for the final in Germany - which kick-off at the beginning of June.
Bees boss Martin Allen said: "The injury will keep Lloyd out for between six to eight weeks. He will miss our remaining games, as well as the World Cup."