In his first match in charge, Tite led Brazil to their first ever qualifying win in Quito – thanks to Gabriel Jesus and Neymar.
Neymar opened the scoring with a penalty before Gabriel Jesus, impressive on debut, struck twice late on.
Tite was full of praise for his team as a whole, and thanked Palmeiras coach Cuca for his work with Gabriel Jesus – as well as the Manchester City signing's previous bosses.
"I have to be fair. Cuca, Marcelo [Oliveira] and Oswaldo [de Oliveira] worked with Gabriel. It helped me a lot, I talked to them," he said.
"It is my thanks. The victory was very much thanks to them."
Tite also lauded Neymar, saying: "The whole team was good, and so was he.
"The Neymar of Brazil, originating from Santos. A technical leader... he has several facets, competitiveness, behaviour. He fulfilled his role, closed space.
"The team had this spirit of solidarity."