The N.F.L. has responded with a written statement, filled more with a soothing tone than concrete ideas to fix any problems.

“The NFL and all NFL member clubs support fair employment practices,” the league’s statement said. “Everyone who works in the NFL, including cheerleaders, has the right to work in a positive and respectful environment that is free from any and all forms of harassment and discrimination and fully complies with state and federal laws. Our office will work with our clubs in sharing best practices and employment-related processes that will support club cheerleading squads within an appropriate and supportive workplace.”

Ms. Blackwell’s letter to the league cited that statement and said: “If the NFL is serious about this statement, then this should be an acceptable settlement demand. It is one that is virtually free for the NFL and for the NFL teams and it will ensure the positive and respectful environment the NFL states is the right of the NFL cheerleaders.”

One of the cheerleaders present would be Ms. Davis, who was fired from the Saintsations, the cheerleading and dance squad of the New Orleans Saints, after posting a photograph of herself on Instagram. She filed a complaint with the Equal Employment Opportunity Commission, accusing the Saints of having different standards for women and men.

Another cheerleader who would meet with the N.F.L. would be Ms. Ware, who worked three seasons with the Miami Dolphins. Earlier this month, she filed a complaint with the Florida Commission on Human Relations alleging that she was discriminated against because of her gender and religion.

Ms. Blackwell said the other two cheerleaders who would attend the meeting have not been determined, but they would have no association with Ms. Blackwell and would come from other teams. The four cheerleaders would discuss both the “unlawful” and the “lawful, but egregious” employment practices pervasive in professional cheerleading, according to the letter.