'while admittedly' is a correct and usable phrase in written English.
You can use it to introduce a concession or an admission. For example, "While admittedly they weren't the most organized team, the players displayed a lot of determination and spirit throughout the season."
I have a friend who worked as a picker for a while, admittedly some years back.
You're also getting improved obstacle avoidance over its predecessors (while, admittedly, that didn't go great the first time we tried it out with the Pro).
The shift there in how to deal with North Korea and how to try to get to a non-nuclear North Korea came all the way back with the creation of the six-party mechanism which for a while, admittedly, didn't have much success.
Perhaps the most useful of these in Winehouse's case was Asif Kapadia's 2015 documentary Amy, which helped correct the narrative tabloids had built up around her (while, admittedly, narrativizing the final days of her life heavily).
The payments to Executive Learning, while "admittedly complex," were for "legitimate services rendered," Dow Jones said.
But, while admittedly a powerful motivator in foreign reactions to the war, cotton was not king.
Yet love or hate it, Pushing Daisies, while admittedly costly to make, was at least genuinely unusual television.
Those numbers, while admittedly a minuscule sample, are what Yankees fans who are used to Rivera's robotic 1-2-3 performanclearlyld clearly prefer.
But Mr. DeLay's lawyers have argued that the transaction, while admittedly an end run around the state ban, did not break the state money-laundering law.
"The impeachment process — while admittedly political in character — has therefore become a partisan orgy, devoid of any mature deliberation," the affidavit said.
The charge is arguably unfair: the firm's health coverage, while admittedly less extensive than the average for big companies, is on a par with other retailers'.
