Even though the players arent English, and neither are most of the managers, they still do play a very English style. You can tell by watching how some of these teams play in Europe vs the premier league. In Europe, they often have to play a slower and possession oriented game whereas in England its more helter skelter.
In saying that, even tho Chelsea won it last year and United made the final in 2011, the English clubs are not as strong as they were in the mid noughties. Not anywhere close. 2 teams out in the group stage of CL for the 2nd straight year, and neither United or Arsenal have the quality to beat the best teams in Europe in the KO rounds. This has been the trend since the summer Cronaldo was sold to Madrid, the league has gotten weaker considerably. None of the teams can defend anymore and midfield play is nonexistant. Its exciting football, but its not the best league in the world in terms of strong teams anymore.