And Tite believes that, after a series of unfortunate injury problems, Costa has returned to the form that saw him become a first-team regular under previous Brazil coach Dunga.
"We previously selected him at some points when he had injury problems and they have denied him the opportunity to perform better," Tite said.
Watch Tite announce his new Brazil squad
Posted by Brasil Global Tour on Friday, 20 October 2017
"His season under [Pep] Guardiola [at Bayern] was better than under [Carlo] Ancelotti. He has now transferred (to Italy) and has played well under [Massimiliano] Allegri.
Former Corinthians boss Tite also spoke once again on his decision to continue rotating the captaincy.
"There is a clear idea behind this: Everyone has responsibilities," Tite said.
"In the 1958 World Cup final, Sweden scored against Brazil and Didi went to the back of the net and talked to all the players.
"And he was not the captain, but he behaved like one. Every player has to behave as if he was captain.”