The phrase "acknowledge unreservedly" is correct and usable in written English.
It can be used when expressing a complete and open admission or acceptance of something, often in a formal context.
Example: "I must acknowledge unreservedly the contributions of my colleagues in this project."
Alternatives: "fully acknowledge" or "completely accept".
Every energy economist I know acknowledges unreservedly that the cost of nuclear will continue to go up even as the cost of solar PV continues to come down.
We deeply acknowledge Mr. Yoseph W/Gebriel from USAID for his unreserved support during our research activities.
The authors acknowledge the study participants and health institutions for their unreserved support to give the necessary information.
The pre-publication history for this paper can be accessed here: http://www.biomedcentral.com/1472-6963/14/324/prepub wouldulikeike to acknowledge Abuna Gindeberet District health office and all staffs for their unreserved collaboration in providing with necessary financial, transportation, material and information and making the thesis work successful.
Acknowledge, acknowledge!
We also like to acknowledge Dr. Nina Marano of CDC – Kenya for her worthwhile contributions to the final stages of the manuscript and her unreserved support to the authors.
In a full and unreserved apology, Hoare acknowledged that some of his comments were offensive and unfounded, and promised to visit the island to find out more about the challenges being faced.
The Christian Democratic party (DC), acknowledging Scalfaro's broad local support, backed him unreservedly.
The panel noted Marler was "proactive" in apologising to Lee during the half-time interval at Twickenham and that he subsequently issued a public and unreserved apology for his comments, in which he acknowledged that heat of the moment was not a defence.
