No, heads of government actually. There's a difference - you can read about it
here. Why are you getting that shit mixed up, you poor naive fool? [there, did I do Urban knobbery properly?]
The head of government in every EU MS is the individual deemed, via the electoral process of that country, to best reflect the will of the electorate. This may be direct, as in say the French presidential election, or indirect via a prime minister who is answerable to their parliament. From a point of view external to the country, that leader is seen as representing the views of that country. Therefore, sitting on the Council, the French leader or whoever is seen as representing the views of the French people, via the representative powers conferred on him by the electoral process.