The World Champions are 2-1 up in the inaugural series, having won the last two Tests in Cape Town and Soweto. Now, the RGR circus heads to Baltimore for the final match on Saturday.
"Over these past weeks, we once again demonstrated the true spirit of our nation," he wrote on Monday.
"With guests travelling from all corners of the world to experience this historic event, you showed them the warmth, generosity and unity that define us as a people.
"Your embrace of our visitors reflected the essence of Ubuntu, 'I am because we are'. You reminded the world that South Africa is strongest when we stand together, support one another and welcome others with dignity and pride.
"The economic impact of this series will benefit communities across our country, contributing to livelihoods and strengthening the broader national economy. As an organisation, we listened carefully to your comments and recommendations on how we can improve future events.
"We value your voice and we will implement these insights to ensure that every edition of this series continues to grow in excellence.
"Our players draw immense strength from your unwavering support. Your passion, your presence and your belief in them fuel their performance and deepen their pride in representing our nation.
"Thank you, South Africa, for once again showing the world who we are, united, resilient and guided by the spirit of Ubuntu."
All Blacks forward Patrick Tuipulotu has acknowledged the Springboks' dominance up front, admitting it has been "hard" for New Zealand to deal with the world champions' physicality in recent weeks.
The Springboks and All Blacks arrive in Baltimore with everything to play for in the fourth and final Test of Rugby's Greatest Rivalry tour.
Springbok centre Damian de Allende can't wait to run out in front of a new crowd in Baltimore this weekend for the finale of the Greatest Rivalry Tour.
New Zealand scrumhalf Cam Roigard has drawn the ire of three former Springboks after his simulation in the third Greatest Rivalry Test match in Soweto.
