Aside South Africa, the Belgian had been strongly linked to the Black Stars after he reportedly revealed his unhappiness with the Cameroon Football Federation over unpaid salaries.
On Friday, he was reported to have faced a Ghana FA interview panel over the coaching position, a move which apparently angered officials in Yaoundé as his current contract with the Indomitable Lions bars him from such talks.
“I would like to apologize for exaggeration,” Broos said in Yaoundé.
“I have certainly humiliated the Cameroonian people.
“There is no reason for me to leave Cameroon.
“Forget about my departure or resignation, and don't listen to rumours that I am in negotiations with other federations.
“The FA president and I had already discussed a prolongation.”
Broos can now put everything behind him as Ghana named Kwesi Appiah as new coach of the Black Stars on Tuesday.
The former Anderlecht manager led Cameroon to win the 2017 Africa Cup of Nations in Gabon, booking a ticket for the upcoming Fifa Confederation Cup in June.
Second in the group, the Lions are also in position to qualify for the 2018 Fifa World Cup in Russia, despite trailing leaders Nigeria by four points.