Peter Boykin, the Gays for Trump founder, told Newsweek he'd introduce similar legislation to the Florida law if he was elected to office.
His statement is something often seen as offensive by those in the LGBTQ+ community, but the remark drew laughter from the crowd.
Richard Grenell said that Joe Biden and Democrats "are so afraid of Donald Trump coming back because Donald Trump doesn't play by the rules of Washington D.C."
The former San Diego mayor is one of 46 candidates who appear on the ballot for next month's recall election.
After calling for Newsom to be recalled, the former acting director of national intelligence ended his CPAC speech by seeming to hint at a gubernatorial run.
The former Trump administration official said he was focused on gathering signatures to recall the Democratic governor.
Most national and international LGBTQ rights groups consider Donald Trump to be the most anti-LGBTQ president of all time.
"Donald Trump is the head of the Republican Party still, let's make no mistake about that," Grenell told Newsmax TV Saturday.
"I'd like to know what you had for dinner at the Italian restaurant the same night you voted to close all the restaurants?" one commenter asked. "Also, what wine goes well with power hungry mania?"
House Intelligence Committee Chairman Adam Schiff said President Donald Trump is "willfully fanning the flames" of racial unrest and violence because his campaign believes it helps his re-election chances.
A White House summit planned for Saturday between Kosovo's President Hashim Thaci and Serbia's President Aleksandar Vucic was postponed on Thursday, one day after Thaci's indictment on war came charges became public.
Richard Grenell previously served as President Donald Trump's ambassador to Germany.
"Any U.S. diplomat who acts like a high commissioner of an occupying power must learn that our tolerance also knows its limits," Wolfgang Kubicki, a deputy speaker of parliament said.
The administration is "pleased with this decision because Iran diverts its economic resources away from its people to spread violence and instability across the globe," the U.S. ambassador to Germany said.
"If people like U.S. Ambassador Richard Grenell believe they can dictate like a lord of the manor who rules in Europe and who doesn't, they can no longer remain in Germany as a diplomat."
Richard Grenell broke with diplomatic norms to say he wants to "empower" conservatives across Europe.
Richard Grenell has been accused of making threats towards German businesses over imminent U.S. sanctions on Iran.