The phrase "admittedly replied" is correct and usable in written English.
It can be used when acknowledging a response or admission made by someone, often in a context where the speaker is conceding a point or acknowledging a truth.
Example: "When asked about his mistakes, he admittedly replied that he could have done better."
Alternatives: "he conceded" or "he acknowledged".
When the woman said that she would have thought so, but was admittedly unsure, Louise replied: "Well take a good look at me now, so you can be sure to know me tomorrow at St. Georges".
Howard, 23, was hired by Barber because Barber used to ask trivia questions for Fake Shore contests, and Howard, who briefly ran his own (admittedly minor) rap site, always replied first and with precision.
My admittedly terse reply is always: "Bullpen does not do bridges". Because I send this reply somewhat regularly, I have concluded there is a lot of confusion about how a post-seed round differs from a bridge round.
This admittedly unrelenting reply, although said with a smile, often leaves the poor person floundering around desperately trying to think of some other kind of message of hope for our unfortunate family.
My admittedly terse reply is always: "Bullpen does not do bridges".
"In a pig's arse, friend," Larkin might have replied - except that the dialectical form of much of his own work bears out Graves's admittedly elevated description.
Admittedly, not all the respondents would necessarily be allowed a second child, and some people may have been extremely cautious about replying to any questions from some of the feared and hated bureaucrats in China.
Admittedly, a couple of replies are obnoxious, and several are simply partisan.
Reply: This is admittedly a fine point, but in the example, I hear "British artist" as a unit, more so than "British" as an adjective modifying Hockney.
When no reply was forthcoming to his written protest against conscription, he and a few followers decided on an admittedly suicidal blow.
