The Filipino world champion professional boxer, who's a part-time evangelical pastor, said back in February that homosexuals were "worse than animals," reported Aceshowbiz.
Following Manny's remarks, the network issued a statement, saying it "deplored" his behaviour, but would go ahead with April 9's pay-per-view Manny bout with Timothy Bradley Jr, adding HBO had "an obligation to both fighters."
But HBO, which has a reputation for airing landmark programs about the LGBT community, including "Angels in America" and "The Normal Heart", is urged to make a decision on whether to keep its contract with Manny.
On Tuesday, Manny's promoter Bob Arum said that they're considering a match against Saul "Canelo" Alvarez.
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Following his anti-gay remarks, Nike ended its eight-year endorsement deal with Manny. LGBT leaders were recently organising a press conference calling for a boycott of Manny's Saturday pay-per-view broadcast and asking HBO to cut ties with him unless he issues a public apology for the remarks.
While HBO declined to comment on the issue, sources say the network is "keeping its options open" about continuing to work with Manny despite the backlash.