Theo Walcott was the only Englishman to regularly appear in Arsenal's first-team squad last season while Chelsea have signed mainly foreign players in recent years.
Millwall's supporters were the most in favour with 86 per cent backing Blatter's idea while Tottenham and West Ham showed 64 per cent and 69 per cent support respectively.
Overall, 31 per cent of those surveyed were against the idea with 15 per cent undecided.