"Phil and his family claim to be Christian, but Phil's lies about an entire community fly in the face of what true Christians believe," GLAAD spokesman Wilson Cruz said. "He clearly knows nothing about gay people or the majority of Louisianans -– and Americans –- who support legal recognition for loving and committed gay and lesbian couples. Phil's decision to push vile and extreme stereotypes is a stain on A&E and his sponsors, who now need to re-examine their ties to someone with such public disdain for LGBT people and families."
"Duck Dynasty" is the highest-rated non-scripted series on television. The show recently aired a Christmas special that drew more than 9 million viewers. It is set to return for the rest of its fourth season run in January.
The Robertson family released a statement Friday night in support of their patriarch and threatening to walk away from the reality TV show.
"We cannot imagine the show going forward without our patriarch at the helm," the family said, adding they "are in discussions with A&E to see what that means for the future."
ABC News' Kevin Dolak, Lesley Messer, Michael Rothman and the AP contributed to this report.