The IMF warned that central bank independence was "paramount for macroeconomic stability and economic growth".
"Preserving the independence of central banks, both legal and operational, remains critical for avoiding the risk of fiscal dominance, anchoring inflation expectations, and enabling them to achieve their mandates," it said.
It comes a week after US Federal Reserve chair Jerome Powell said he was the subject of an "unprecedented" US justice department criminal investigation over his testimony about the bank's building renovations.
He said he believed this was due to Donald Trump's anger over the Fed not cutting interest rates, but Trump said he did not know about the investigation.
Powell's comments prompted central bank heads across the world to declare "full solidarity" with the US Fed chief, while three former heads of the bank strongly criticised the investigation.
Gourinchas said preserving central bank independence would be key to economic success in the years ahead.
Without it, he warned, "the economic environment deteriorates pretty rapidly".
Gourinchas said challenges to central bank independence had emerged elsewhere, particularly in countries with big borrowing needs, as leaders are enticed by the idea that lower interest rates would make it less expensive to fund government spending.
But he warned those dynamics tend to lead to inflation and higher borrowing costs over time.
"The evidence is very clear. It's self defeating," he said.