The Ferdinand family have rallied around Rio after the Manchester United defender's World Cup was ended by a knee injury.
Rio is now back in England to undergo rehab.
Speaking on a visit to the Football For Hope Centre in Khayelitsha township in Cape Town, brother and Sunderland defender Anton said: "He's a very positive person. He's still supporting the England team.
"He would love to be playing in the World Cup but it wasn't meant to be.
"He was obviously very very upset. This World Cup wasn't just about him playing, he was going to be captain. He was going to be the first black captain to captain England in the World Cup and he was going to be one of only four players to ever play in four World Cups for England.
"But it wasn't meant to be and I'm sure, like always, he will come back stronger."
Anton said the family had supported Rio, out with a knee injury. He said: "When one part of the family has a problem the whole family gathers around and makes sure they are mentally right and still thinking the right way.
"His head is in a good place. He's just focused on supporting the team and making sure the team does well.
"He said he was gutted but these things happen and these things happen for a reason. So let's hope it is a good reason why it happened."