The North Carolina legislature plans to hold a special session Wednesday to consider fully repealing the contentious law curbing legal protections for lesbian, gay, bisexual and transgender people. The move comes after the Charlotte City Council rescinded a local anti-discrimination ordinance on Monday that had prompted passage of the statewide law in March.

Governor-elect Roy Cooper, a Democrat, said in a statement Monday morning that Republican legislative leaders had “assured” him that a special session would be called “to repeal H.B. 2 in full.” Mr. Cooper won the Nov. 8 election after arguing that the law, known as House Bill 2, H.B. 2 or “the bathroom bill,” had embarrassed the state, cost it thousands of jobs and set off an exodus of high-profile sporting events.

“I hope they will keep their word to me and, with the help of Democrats in the legislature, H.B. 2 will be repealed in full,” Mr. Cooper’s statement said. “Full repeal will help to bring jobs, sports and entertainment events back and will provide the opportunity for strong L.G.B.T. protections in our state.”

A spokesman for the departing Gov. Pat McCrory said Monday that the governor would call a special session on Wednesday. But in a sign of the continuing acrimony between Democrats and Republicans, State Representative Tim Moore, the House speaker, and State Senator Phil Berger, the Senate president, said the governor-elect was “not telling the truth about the legislature committing itself into session. We’ve always said that was Governor McCrory’s decision, and if he calls us back, we will be prepared to act.”