In the interview, which was conducted by the Namibian Broadcasting Corp., the couple sat together and spoke about their experience in the African country where their daughter was born.
"I'd just like to thank the people of Namibia," Pitt said, according to an excerpt from AP Television News. "They've been so gracious and made our stay here very special, and because of that we've had an incredible time with our family exploring the country, and (had) a truly peaceful birth of our daughter."
Jolie, wearing a black dress, called their visit "an amazing adventure."
On Wednesday, Pitt, 42, and Jolie, 31, told a news conference for local journalists that they have no immediate plans to wed.
"There is nothing in the air. The focus is the kids, and we are obviously extremely committed to the children and as parents together," Jolie said at a hotel in the coastal town of Swakopmund. "So that kind of says it for us, and to have a ceremony on top of it is nothing."
Jolie also said that she and Pitt had wanted to find a place where they could spend some special time with their kids, Maddox, 4, and Zahara, 1. "We both had traveled to Africa and loved this part of the world."
The couple said they'd come to Namibia specifically for the birth of their child. "People were shocked that we chose to come here, and they thought we were putting our child's life in danger," said Jolie. "But we did our homework about Namibia. We want to tell the world how magnificent this country and the people are."
The family plans to leave Namibia soon, so that Pitt can begin filming Ocean's Thirteen.
Meanwhile, a prerecorded ad starring Jolie calling attention to World Refugee Day on June 20 has been released, and stations are rushing to get the commercial on the air before the annual event, Reuters reports.
The superstar mom, who is also a goodwill ambassador for the U.N. High Commissioner for Refugees, filmed the spot before Shiloh's birth.
"I'm Angelina Jolie. For the millions of displaced persons around the world, please help keep their hope alive and remember World Refugee Day," she says in the message.
The theme of this year's annual day is "Hope," and events are planned in more than 100 countries to honor people driven from their homes by conflict or persecution.
The ad can be viewed on the Web at www.unhcr.org.