"[Chip] Kelly would not have fought to save [Tom] Gamble, but "strongly disapproved" of manner and timing in which [Howie] Roseman dismissed him."
What does it mean? To me, this reads like Kelly wasn't actually afraid of losing Gamble's job contributions, but he was upset that the way the firing happened might negatively impact his personal relations with his friend.
In other words, the business relationship between Gamble and Kelly may have been overstated. The aftermath of the Gamble firing led some to believe that Kelly might consider trying to leave Philadelphia. It also gave the appearance that then-GM Roseman had gained power with the move. Of course, neither of those things turned out to be the case. The Eagles gave Kelly more power and "promoted" Roseman to a role where he's no longer involved in the player personnel department.
As for the Roseman-Gamble relationship, well, it seems like that one wasn't very tight considering Roseman fired Gamble.
Either way, what's done is done.