New French coach Jacques Brunel had 11 players from the two clubs in his Six Nations squad this year.
Influential Montpellier No 8 Louis Picamoles has been ruled out of the tour as he will have leg surgery straight after the final.
''You can copy and paste what happened in 2009 when France fielded an under-strength first test team in Dunedin.''
That resulted in a shock 27-22 win to France with the All Blacks squaring the two-test series in Wellington with a hard-fight 14-10 win.
Depret said the All Blacks were ''huge favourites'' to win the three-test series.
''I am not telling you we are going to beat you but I don't think France will disappoint.''
Under Brunel, France had an encouraging Six Nations campaign, beating Ireland, England and Italy and losing narrowly to Wales and Scotland.
''The team was fantastic, smiling faces, confident and happy. Something is happening,'' said Depret.