The United manager says he has been "very impressed" by the Japanese midfielder so far, adding that his new teammates are starting to recognise his talents as well.
"What we identified about Kagawa is exactly what I'm seeing now," Ferguson says. "The difference now is that the players who train with him are now realising the qualities he has.
"He has very, very quick feet, two sided. He has a very good goal ratio with [Borussia] Dortmund, in his two years. So I think that as training sessions come along and once he starts playing, the boys will recognise those qualities. He's doing very well, I'm very happy."
Kagawa is already being compared to South Korean fan favourite Park Ji-sung, who has now left Manchester for Queens Park Rangers, and Ferguson admits there are similarities, adding that Kagawa will play in Cape Town tomorrow.
"They're similar in terms of discipline and work ethic. They've been outstanding in training performances, obviously [Kagawa] was three or four days behind, but he will play tomorrow.
"I think those qualities when you compare with Ji-Sung Park are very much the same. Very organised human beings, very disciplined, good professionals, excellent to work with, so there'll be no problems him settling in at our club. He'll do very well."
The former Borussia Dortmund star looked sharp, if a little nervy, during the open training session at Cape Town Stadium this afternoon. During the half-field game he skied a shot over the crossbar and scuffed the next wide, before finally hitting one home with his left, to a huge roar from the local crowd.
Meanwhile, Ferguson says he is looking forward to a good contest against the Urban Warriors.
"We had a good game up in Durban, I thought it was pretty even, and in the first half we did well," he says. "There was a good atmosphere, it was played in the right spirit from both teams. It was the kind of game that fans will come away and say, I'm glad I was there.
"Hopefully tomorrow will be the same. We have a full house, we have an expectation to try and entertain as best we can and that's my expectation too.
"We'll make two or three changes tomorrow, but nonetheless we'll be hoping to win the match and continue our form through the tour."
After their match against Ajax, the Red Devils fly to China to take on former Chelsea striker Didier Drogba's new side, Shanghai Shenhua, on Wednesday.