The resolution cites "widespread public opinion throughout the state of Louisiana and beyond that the penalties imposed upon the Saints are too harsh and should be reconsidered."
Payton was suspended for the entire 2012 season, Loomis for the first eight games and Vitt the first six games. In addition, the team was fined $500,000 and docked second-round draft picks this year and next year.
Goodell, who will hear and rule on the appeals Thursday at the league's headquarters in New York, said he hopes to expedite the process. Chances are slim any discipline would be reduced, but the appeals process could buy all parties more time to chart their futures while punishment is being administered.