Aiden Markram would give an "arm and a leg" to captain the South Africa Test team but said landing the role is not the "be-all and end-all".
Faf du Plessis stepped down as Test skipper in February and also decided not to continue as captain of the limited-overs sides.
Quinton de Kock took over as the leader of the ODI and Twenty20 International teams, but a new Test captain has not yet been appointed.
Markram led South Africa to World Cup glory at Under-19 level in 2014 and the 25-year-old batsman would relish the chance to take the Proteas job, yet said it would not be the end of the world if he is overlooked.
The opener said: "I really enjoy captaincy. I enjoy the responsibilities that come with it.
"I would give an absolute arm and a leg to be able to do it, but I have said it before in the same breath, it's the not the be-all and end-all, so I don't want to become desperate about it."
He added: "I thoroughly enjoy captaining and would be honoured if it were the case, but I don't want to look too much into it.
"If it were to happen, it would be amazing. But if not, there are plenty good leaders within the environment that will take the team forward along with the management.
"My main focus is trying to get back into the side and stay on the field."
Markram broke a finger during the Test series defeat to England last December, having also suffered a broken wrist when he reacted angrily to a dismissal against India last year.