Presidents for more than two decades avoided public comments on Fed policy as a way of demonstrating respect for the institution's independence.
Participants in the Fed's rate-setting committee also "generally anticipated that further gradual increases" in short-term borrowing costs "would most likely be consistent" with the kind of continued economic expansion, labor market strength, and firm inflation that majority are anticipating, the minutes showed.
The Fed minutes did not include any discussion of Trump's attacks.
Further rate hikes "would most likely be consistent" with the current period of firming inflation and historically low unemployment, according to the minutes released Wednesday.
"I'd rather pay down debt or do other things, create more jobs", he said. That would put it above the 3 percent level which the Fed now pegs as its "neutral rate".
Some members of the rate-setting panel - the Federal Open Market Committee - also indicated it might be necessary to raise rates more aggressively to keep the economy from overheating.
This would move USA interest rates slightly above what policymakers say is "neutral" - that is, neither slowing nor speeding the economy - but some participants said the Fed may need to go even further than that.
While criticism of monetary policy by a president has become taboo, Trump isn't alone in questioning why the Fed continues to raise rates while inflation remains tame. The move was immediately criticized by President Donald Trump, who said he was not happy with the continued rate hikes.
"For now, the Fed has made it clear that they are focused on their agenda despite rising presidential pressure on their rate decisions", said Mike Loewengart, vice president of investment strategy at E*Trade.
Markets fear currency crises in Turkey, Argentina and other emerging market economies could spread beyond their borders - something that could be sparked as investors pull out to take advantage of higher rates in the US.
The White House has put punishing tariffs on more than $250 billion in annual Chinese imports. Bullish factors for gold include stock market volatility and weakness, a falling U.S. Dollar and a drop in interest rates.
Wall Street, which had struggled through much of the day, closed slightly lower, with stocks paring losses after the minutes' release.