"invaluable cooperation" is grammatically correct and usable in written English.
You can use it when talking about a cooperation that has been invaluable or invaluable assistance or help. For example: "We are extremely grateful for your invaluable cooperation throughout this project."
We thank Dr. Christopher Ward for his collegial assistance and advice with microarray data mining, our collaborating surgeons (namely, Dr. Hanieh Erdmann, and Dr. Wolfgang Funk) for their invaluable cooperation, and Giammaria Giuliani for continued encouragement, stimulating discussions, and support.
We gratefully acknowledge the invaluable cooperation of both patients and therapists.
We like to acknowledge the support of Psychiatry Clinic staff for their invaluable cooperation in data collection.
We thank the participating clinics whose invaluable cooperation made this study possible.
We thank all of the women who participated in this study for their invaluable patience and cooperation.
"Call me the day you know you want me on your side," Mr. Forschein said, before entering the hearing room and complimenting the clerk on her glasses (for a clerk's cooperation is invaluable).
Why not feel nostalgic if the emotions that stirs in turn stir us to try to get hearts and minds back focused on that invaluable goal of continental cooperation?
Her cooperation was invaluable.
Your collective participation and cooperation will be invaluable to this blog as a forum on Schapiro's work and how it manifests in his archive.
The FTC thanks the Federal Communications Commission and its Enforcement Bureau for their invaluable assistance with and close cooperation and coordination in this matter.
The full support of two sequential City Health Commissioners and the Chief Executive Officer of our partner software company has been invaluable for getting help and cooperation from not only our respective organizations but from the community as well.
