Brazil, who had already qualified, finished on top on goal difference with six points and will face South Korea in the last 16.
The Cameroon Football Federation reiterated its full support to the head coach and his entire staff.
The result left both sides on one point and needing to win their final Group G game to stand a chance of going through to the knockout stages.
The 25-year-old refused to celebrate the goal on his 60th international appearance, lifting his hands in the air and frowning as the small group of Swiss fans cheered wildly at Al Janoub Stadium.
The 25-year-old striker, who was born in Yaounde but raised in Basel, stood still with an apologetic frown on his face after he scored while the Switzerland players celebrated around him.
The FIFA World Cup has witnessed some stunning upsets.
Egypt will be aiming to win a record-extending eighth Cup of Nations title when they face Senegal in Sunday's final.
Naseri Paul Biya, the governor of the central region of Cameroon, said there could be more deaths.