Oscar scored in the 32nd minute and Eden Hazard converted the game-winner via penalty in the 75th minute to give Chelsea its league-leading 8th win of the season.
Oscar is averaging 10 fantasy points per game after his 24 point performance over the weekend.
Oscar fired in the game-winning goal from 25 yards out in Chelsea's Capital One Cup match vs Bolton on Wednesday.
Brazil could not recover from the blowout loss to Germany in the semi-finals as they were defeated by The Netherlands 0-3, ending their World Cup run in embarrassing fashion.
Brazil Staring XI: Julio Cesar, Thiago Silva (c), David Luiz, Fernandinho, Marcelo, Hulk, Paulinho, Fred, Neymar, Oscar, Maicon.
Brazil's Oscar has admitted that he's had contact with Paris Saint-Germain but insists he's staying at Chelsea.
Brazil XI:Julio Cesar, Dani Alves, Thiago Silva, David Luiz, Marcelo, Paulinho, Fred, Neymar, Oscar, Ramires, Luiz Gustavo
Brazil overcame an early own goal and benefited from a questionable penalty given to them as a Neymar brace led the way to three points for the host country in the 3-1 final over Croatia.
Brazil XI: Cesar; D.Alves, T.Silva, D.Luiz, Marcelo; Paulinho, L.Gustavo; Hulk, Oscar, Neymar; Fred
Oscar continues to be bothered with an ongoing hip injury and he missed Chelsea's match against Norwich last weekend.
Chelsea midfielder Oscar is to be assessed before the club faces Norwich on Sunday.
Chelsea extended their lead at the top of the table by grabbing three points in convincing fashion, dismantling Arsenal 6-0.
Jose Mourinho believes Oscar's lack of form is due to weather and fatigue.
Oscar and Juan Mata have both been omitted from Chelsea's starting lineup against Arsenal.