Arsenal in 03-04, "The invincibles", arguably the best team of the Premier League era, hadn't. In fact they only had two Brits in their regular starting XI (Ashley Cole and Sol Campbell).
Parlour played a fair few games that season if memory serves, like. Anyway. the best team of the PL era was Man U when they won the treble. Arsenal were lovely to watch and remained unbeaten (drawing 12 games) but they did nowt in the cups that year.