The phrase "acknowledge that only" is correct and usable in written English.
It can be used when you want to emphasize a specific point or limitation in a statement or argument.
Example: "I must acknowledge that only a few participants completed the survey."
Alternatives: "recognize that solely" or "admit that just".
Their own strategists acknowledge that only a charismatic Presidential nominee can redefine the party.
Kurdish officials suggest that another confrontation is inevitable, with halfhearted negotiations already stalled, and U.S. officials acknowledge that only their intervention has prevented bloodshed.
Many in the Ethiopian government, ruling party and security apparatus acknowledge that only further reforms can sustain the goals of economic growth and political stability.
But the officials acknowledge that only immigration has a strong chance of receiving enough Republican support to pass, with a budget deal having an outside chance.
It is now imperative for London to acknowledge that only a full and public airing can do justice in these cases.
We'll also pause to acknowledge that only about 50 people signed the petition asking the city to reject the project, and about 75 showed up at a community meeting to oppose it.
While acknowledging that only a small number of stressed borrowers would be helped, Lori Gay, president of Los Angeles Neighborhood Housing Services, a nonprofit group, called the freeze "a great beginning".
While acknowledging that only $32 million would go to hurricane-related repairs, they note that the rest would go to bolstering the system's ability to withstand future storms, as well as to long-planned improvements.
With a deal, of sorts, to keep Greece in the eurozone, prime minister Alexis Tsipras marked his first month in office this weekend acknowledging that only now does the hard work begin.
In the last several years, Mr. Picard has brought more than 1,000 cases seeking more than $100 billion on behalf of victims, despite acknowledging that only about $17.3 billion had actually been invested by customers.
Meanwhile, years after the United States began training them, Mexican security forces are still plagued by corruption, with Mexican officials acknowledging that only 2 percent of all crimes go to court.
