The IMDb lists only one song, "Senza Fine" by Gino Paoli, sung by Connie Francis, though it is said to be in Italian (or English), not French.
According to Soundtrack Collector, here are all of the songs on the sountrack (they are listed 16-31 because it's a double CD with the "Patton" soundtrack) and the composer is listed as Frank DeVol.
16. Flight of the Phoenix: Airborne (00:55)
17. Flight of the Phoenix: Main Title (04:58)
18. Flight of the Phoenix: Wind/Heartbreak (02:41)
19. Flight of the Phoenix: Brave Sergeant (01:43)
20. Flight of the Phoenix: Harris Leaves (02:19)
21. Flight of the Phoenix: Senza Fine (02:14)
22. Flight of the Phoenix: Gabriele's Death (01:34)
23. Flight of the Phoenix: Water (01:38)
24. Flight of the Phoenix: Let's Get Back to Work (01:38)
25. Flight of the Phoenix: Caravan (02:55)
26. Flight of the Phoenix: Naughty Boy (02:29)
27. Flight of the Phoenix: Model Planes (02:54)
28. Flight of the Phoenix: The Difference (01:54)
29. Flight of the Phoenix: The Propeller (02:44)
30. Flight of the Phoenix: The Big Pull (01:36)
31. Flight of the Phoenix: Rest Stop/Ground Run (03:12)
32. Flight of the Phoenix: Going Up (01:41)
33. Flight of the Phoenix: Swimming Hole/Finale (01:11)