The 30-year-old, who played ten seasons in Spain with lower division clubs such Guadalajara, Mirandes and Cordoba, was on the edge of joining an unnamed Turkish side but opted for Sundowns.
"I had a contract with a Turkish club but Mamelodi Sundowns coach came to me later [so] I was thinking [on what to do]," Brimah told SABC.
"I thought a lot and asked people many questions before I finally came here. Looking at Turkey and here, I chose here because I want to be a big player just like Sundown are big.
"To go to a Turkish club who wants to maintain their place in the league, I preferred to be with Sundowns because from here, I can get a good contract and go back to Europe," he added.
Brimah faces an uphill battle to make it in Pitso Mosimane's starting XI following the presence of in-form goalkeeper Denis Onyango and Zambia's first choice Kennedy Mweene, but he insists he will fight for his place.
"I am someone that loves competition a lot. I fight for my rights so I'm here to fight [for a place in the team]. However, the coach will decide so every single day in training I work hard and every chance they will give me will show," he said.
Brimah boasts of 27 appearances with Ghana since making his debut in 2013 but last played for the Black Stars in February after Kwesi Appiah took over from Avram Grant.