NFL spokesman Greg Aiello said Goodell would "make an expedited determination of the discipline imposed" for violating the league's bounty rule.
"Until that determination is made, the four players are reinstated and eligible to play starting this weekend," Aiello said.
Vilma, who had been suspended the whole season, tweeted: "Victory is mine!!!! -stewie griffin"
Added Fujita: "I'm overwhelmed with all the support. Thank you so much everyone. Can't tell you how much it means to me."
The ruling does not affect New Orleans coach Sean Payton, suspended for the season, interim coach Joe Vitt (six games) or general manager Mickey Loomis (eight games).
While the panel did not address the merits of the NFL's bounty investigation, it found that Goodell overstepped his authority in hearing the players' appeals of their punishments for participating in the Saints bounty program, which paid cash bonuses for hits that injured opponents.