Ms. Blackwell asked for a response from the N.F.L. by May 4.
“We’re not asking them to admit fault, or to admit guilt, or even admit that there is anything wrong,” Ms. Blackwell said in a phone interview. “But if they do want and expect that cheerleaders should have a fair working environment, as they have stated, then it doesn’t make any common sense why the answer would be no.”
The letter was sent to Steven Hurd, a New York lawyer at the firm Proskauer who often represents the N.F.L.
The letter is the latest development to push the treatment of cheerleaders — and, by extension, the public’s perception of them — into the forefront.
Dozens of current and former cheerleaders have stepped forward to discuss the indignities of what is often considered a glamorous job at the pinnacle of the dance profession. Some have detailed grievances that include pervasive and sometimes physical sexual harassment from fans that teams are aware of, extremely low pay and long hours, and strict rules covering everything from weight and appearance to social-media use that do not apply to players or other team representatives.
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,” read a recent league statement that Ms. Blackwell quoted in the settlement proposal. “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.”
Ms. Blackwell’s letter to the league added: “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.
“We want change,” Ms. Blackwell said. “We want the opportunity for change.”
If the N.F.L. rejects the proposal, the complaints made by Davis and Ware would continue through due process. If the N.F.L. accepts it, there is still no guarantee that the meeting would be fruitful, or that it would greatly improve conditions for cheerleaders.
“I understand that they could meet with us, patronize us and do nothing in the end,” Ms. Blackwell said. “I understand that risk. But it’s a risk we’re willing to take to try to have real change.”