Buttler is part of England's squad for the one-day series against Australia which starts at the MCG on Sunday.
His replacement was to be Pakistan's Mohammad Hafeez. However, Hafeez has been called up to his national side.
Bravo hit 106 off 81 balls for the Windies against New Zealand in Hamilton on Wednesday.
The Renegades are outside the top four with a 2-3 record from five games.
Bravo is expected to be available for their seventh and eighth matches against Sydney Sixers at Etihad Stadium on January 18 and four days later against the Strikers at Adelaide Oval.
The Renegades have lost skipper Aaron Finch and pace spearhead James Pattinson mid-tournament due to national duties with the ODI series against England.
Bravo is a former Victoria T20 representative in the old state-versus-state Big Bash before it became an eight-team BBL.
The 30-year-old veteran of 37 T20 Internationals is also a former Sydney Sixers player.
"Dwayne is one of the best T20 all-rounders in the world. He can bat at the top and bowls anywhere," Renegades' coach Simon Helmot said on Friday.
The Renegades will host win-less Sydney Thunder at Etihad Stadium on Tuesday.