Scott Sumner, the chair of monetary policy at George Mason University's Mercatus Center, said his concern is that Moore accused the Fed of providing too much aid after the 2008 financial crisis, when the economy depended on help from the central bank.
As a result, "I'm anxious more on the deflation side right now than the inflation side, " he said, pointing in particular to a broad-based fall in commodity prices in recent months.
Nominees for the job are subject to Senate confirmation.
Before joining the conservative Heritage Foundation as a visiting fellow, Moore, 59, had worked as an editorial page writer at the Journal.
As a TV commentator, Moore has been an anti-tax conservative and fiscal hawk.
"I am open to all possibilities as we aim to support sustained economic expansion, strong labor market conditions, and inflation near the Committee's symmetric 2 percent objective", Bostic said, referring to the policy-setting Federal Open Market Committee.
Powell said that consumer spending and business investment "suggest that growth is slowing somewhat more than expected".
In a TV interview, he called the Fed's decision to raise rates in December a "substantial mistake" while saying that he did not want to be a disruptor and "I want to be somebody who can really help chairman Powell".
While Moore has sided with Trump in chastising the Fed for raising rates, he has in the past been just as vocal in critiquing the central bank for not raising them. If confirmed by the Senate, Moore would fill one of two vacancies on the Fed's board.
The group, many of them PhD economists, often reach policy decisions by consensus after debating the issues. He took office just over a year ago, promising continuity with the policies of his predecessor Janet L. Yellen, who had begun gradually unwinding extraordinary stimulus measures the Fed used against the Great Recession of 2008-2009.
The US Fed on Wednesday left interest rates unchanged after concluding a two-day policy meeting, and announced that it will end the runoff of its balance sheet at the end of September. In the article Moore argued that the Fed's rate hikes promoted deflation and described the central bank as the "last major obstacle" to the United States staying on a good path.
"I don't want to be a disruptor", Mr Moore said.
Moore has frequently praised the administration on television, and he co-wrote the 2018 book "Trumponomics". Federal debt has jumped since Trump's overhaul to the tax code, surging almost 77 percent through the first four months of fiscal 2019 compared with the previous year.