Chess is a very internationalized game where geographical borders have a very limited impact on playing styles. Every strong player from any part on the world will have studied games from Capablanca, Euwe, Fischer, Kasparov and Carlsen, and that won't make their style more Cuban, Dutch, US, Russian nor Norvegian.
Moreover, in any big enough country, you will find very different players. Best Soviet grandmasters in the 60s where Stein, Petrosian, Smyslov, Taïmanov, Tal, Korchnoï and Spassky [edit: and Geller, and Keres, and Botvinnik, and so many... I should have chosen another country as example!]: but for the fact they all were super-strong players, it would be very hard to point any similarity in between their 'styles' (if such a thing even exists). If anything, their openings were very different. Later, Karpov and Kasparov were very different players too, etc...
For a while, an excellent book published in a certain language or an excellent trainer exercing in a specific area may have had an influence on the development of players in the given area and on their choice of openings: for instance, you would meet the Tarrasch defense more often in Sweden (a Gedeon Stahlberg's legacy) and the King's Indian more often in Yugoslavia (following Svetovar Gligoric's and Boris Ivkov's example). In our era of widespread information, however, I don't think that national borders have any significative influence.