The pair helped Arrows snap a 12-game winless run in all competitions against SuperSport, as Kudakwashe Mahachi scored with 10 minutes to go at Princess Magogo Stadium in KwaMashu.
Abafana Bes'thende recruited defender Buthelezi and midfielder Zuke from Acornbush United and Chippa United respectively.
Larsen told his club's website: "Our players showed good determination and discipline to beat a stubborn SuperSport team. I feel we were good value for our win yesterday as we kept a strong structure which was complemented with some great attacking play.
"Buthelezi was outstanding on his debut as he partnered [Nkanyiso] Mngwengwe with aplomb. Another debutant, Zuke was also outstanding in midfield as he gave us a very calming influence in possession.
"We had some close scares late on as SuperSport went route one but managed to hold on.
"A much needed three points, clean sheet and all round solid performance from the team."
Larsen's side are 10th in the Premiership standings with 21 points from 17 matches, and next visit Chippa United in Port Elizabeth this Sunday.