Fernandinho scored an own goal before Kevin de Bruyne doubled Belgium's lead just after the half-hour mark in Kazan, reports Xinhua news agency.
Substitute Renato Augusto pulled a goal back for Brazil in the 76th minute but the European side withstood a tense finale to book a semi-final berth against France.
"I think that Tite should stay," Ronaldo, a two-time World Cup winner with Brazil, said in his commentary for TV Globo.
"He is a sensational guy and is doing a sensational job. His work has to continue. In fact, his responsibility should extend to youth football. And the Brazilian league needs to adopt the changes that he is seeking."
Tite took charge of Brazil in June 2016, with the team languishing in sixth place in the World Cup's South American qualifying group.
He oversaw an immediate change of fortunes as the Selecao won nine consecutive qualifiers to become the first team to secure a place in Russia.
Tite would not be drawn about his position in Friday's post match press conference.
"I won't say absolutely anything regarding my future," the 57-year-old said. "This is an emotional time."
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
