The former Orlando Pirates mentor was previously assisting former Bafana coach Ephraim Mashaba before SAFA fired 'Shakes' in November.
Da Gama was then appointed interim Bafana coach for the 3-1 friendly win over Guinea-Bissau on the weekend and last night's goalless draw with Angola.
"I think it's any coach's dream to coach [the national team] and the response from the players has been fantastic and the mood in the camp has been ecstatic," said Da Gama, who also steered the national U-23 side at the Rio Olympics after they finished third at the CAF U-23 AFCON.
"You know whatever happens will happen. I think I'm very capable and I've proven beyond any doubt. I've been over here hearing people are qualified to be in or not qualified... I don't understand that, maybe I should understand it a little bit more.
"But with what has happened with the national U-23 team and the very same team, 90 percent of those players are currently key players that played in the Brazil team. With the exposure that we got at the U-23s and over 50 matches that I've been part of Bafana, understanding our culture of football, watching over 1200 games in the country, I think I've got an idea of what is happening within the national setup and with our players.
"There are players on the fringes like Lebohang Maboe at Maritzburg United and those are players that knocking on the door.
"We know about these players and we are not only looking at the superficial Bafana players or looking at the top players, but there are other players that we are aware of, so we are well versed.
"I've coached over 11 years in the PSL. We are well versed. I've coached a big club like Orlando Pirates but I don't say I'm the right man. What I'm saying is I certainly believe and understand South African football very, very well.
"And I know players in South Africa, so I think I have a clear understanding of what is at hand and I think I've got the experience."