Daniel Sturridge's missed penalty saw the hosts' hopes of a medal dashed against South Korea on Saturday night in what was their first Olympic tournament since 1960.
Pearce's men qualified for London 2012 due to their status as the home nation and the former Manchester City boss cannot see how a unified team could find the time to qualify by normal means.
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"Where will we find time to enter the tournament?"
Teams usually qualify through their performance in the European Under-21 Championships, though each home nation competes in this competition individually.
Concerns were raised ahead of London 2012 that the home nations' sovereignty would be put under threat by the presence of a unified team, with the football associations of Scotland, Wales and Northern Ireland all wishing to continue competing individually.