No, I don't think so.
As I recall, the jurisprudence that allowed Goodell to do what he wanted, however unjust, is pretty robustly anchored in U.S. law (for instance, in Garvey vs MLB Players Association).
The crucial point in the Second Circuit’s eventual ruling against Brady was essentially: Roger Goodell had almost unlimited discretion as arbitrator under the CBA. The Second Circuit emphasized that courts cannot “second-guess” the arbitrator on the merits. The question was only whether the arbitration process crossed the minimal legal thresholds required under federal labor law.
In this case, the courts decided that some of Flores' dispute, as a coach, was not covered by an arbitration agreement with the NFL, unlike Brady's as a player. So it could be taken to court.