The Cottagers took the dramatic step of replacing Rene Meulensteen last week with the German coach, who also decided assistant manager Ray Wilkins and first-team technical director Curbishley would leave the club under a clean break from the old regime.
Former Charlton boss Curbishley had only returned to football just before Christmas when taking up a new role at the west London club.
The 56-year-old, once touted as potential future England manager, can understand the decision, even if he is "disappointed" by the outcome.
"There was a change of manager who decided he wanted to bring his own staff in, and that is always a consequence of managerial changes," Curbishley said on Sky Sports News.
"I understood it, I respected it, but I was a little bit disappointed because - when I went into Fulham - the role I had was something the club needed.
"Rene had never been a manager before and I was there to advise and offer my opinion on things, as was Ray.
"There are some inexperienced managers in the Premier League such as Tim Sherwood at Tottenham and Garry Monk at Swansea, so there is a role for ex-managers to be mentors.
"But unfortunately it only lasted seven weeks.
"The owner decided after the Liverpool game he was going to make a change.
"Rene will be disappointed, as it was his first stab at management, because the two games previously against Manchester United - where we drew - and against Liverpool, when we led twice, we felt the tide was turning a little bit."
Magath's first match almost ended in victory at West Brom, but a late mistake from goalkeeper Maarten Stekelenburg saw them end up with a 1-1 draw which leaves Fulham still bottom of the table.
However, the Cottagers are only four points from safety.
German coach Magath has a reputation as a strict disciplinarian, but Curbishley sees no reason why the three-time Bundesliga winner should not make a successful transition to England.
"He was a fantastic player, top class, been there, done that and won most things," Curbishley added.
"He did the double with Bayern Munich and is full of confidence, and believes he has the tools to make Fulham survive."