ESPN's Adrian Wojnarowski and Royce Young reported on July 6 that the Thunder are going to part ways with Anthony this summer, either through a trade, using the stretch provision or buying out his deal and stretching his $27.9 million salary for next season.
The Rockets, Heat and Los Angeles Lakers were cited as potential suitors for Anthony.
Houston was heavily linked to Anthony last year before the New York Knicks traded him to the Thunder. He told SiriusXM NBA Radio last September a deal to the Rockets "was done," but for "some reason...it didn't go through."
Anthony and Rockets head coach Mike D'Antoni spent parts of two seasons together with the Knicks from 2010-12.
The Rockets are trying to get over the playoff hump in 2018-19 after losing to the Golden State Warriors in the Western Conference finals after winning a franchise-record 65 games during the regular season.
Anthony, 34, needs to rebuild his value after setting career-lows with 16.2 points and a 40.4 field goal percentage last season.