The phrase "acknowledge that given" is correct and usable in written English.
It can be used when you want to recognize or accept a specific condition or fact that has been presented.
Example: "I acknowledge that given the circumstances, we may need to adjust our timeline for the project."
Alternatives: "recognize that considering" or "accept that in light of".
Israel should acknowledge that, given this momentum, time is not on its side.
They acknowledge that given the delay in the Macedonian Parliament's debate over constitutional changes, the initial NATO mission itself is likely to be prolonged.
Mr. McCain's opponents acknowledge that, given his experiences, he is a powerful advocate on this subject, but that the shadow war against terrorists has new legal complexities.
Governor Brown should acknowledge that given the gross politicization of prison policies in the decades between his terms in office, neither he nor any other politician can guarantee that Californians will learn the truth about what is being done in their name.
We acknowledge that, given our relatively small sample size and limited number of outcomes, our model may be at risk of overfitting and should be considered hypothesis-generating.
We acknowledge that given this complex nature of the city and its involving characters including spatial and socio-cultural objects, describing the behavior of such a complex dynamic system only with one analytical approach is insufficient.
Better to acknowledge that giving to charity is selfish, and keep on giving, all the same.
In the end, my wife and I were forced to acknowledge that giving our preschoolers educational CD's isn't necessarily a no-brainer.
Mr. Morrell acknowledged that given WikiLeaks' past history of disclosing confidential information, he did not have high hopes that the organization would comply with the Defense Department's demand.
Ms. Rebeck acknowledged that, given the disparity of age and professional experience in the company, a certain degree of awe was inevitable.
William E. Colby, who was then the C.I.A. director, once acknowledged that given the traditional sovreignty accorded sunken warships, C.I.A. officials knew that what they were doing constituted theft.
